Clare, 40, continued, "One thing I refuse to do though is stay down. I'll be dammed if I let it all take me out, so amidst all this, I'm taking steps even if [they] are small."
Clare insisted she's going to maintain a positive attitude and keep looking forward.
"I will feed myself the right food, drink some water, and handle it the best I know how," Clare wrote. "I want you to know the messages of support [and] love from my Insta fam haven't gone unnoticed [white heart emoji]."
Reports surfaced last week Dale and Clare -- who briefly broke up in January 2021 -- called it quits again, but "for good" this time.
Clare broke her silence and uploaded a post on Thursday to check in with fans, but she declined to reveal specifics on the demise of her relationship with Dale.
"I hate that I even have to say this, but in response to all the questions that are coming my way right now... I'm choosing not to speak right now on the details of my relationship, because at the end of the day anyone can put on an ACT or throw words together to form any narrative they want," Clare wrote.
"What I will speak on is emotionally and physically I'm going through a lot with healing from my recent surgery still, and my mother being placed on hospice care now."
Clare's message served as the caption to a photo appearing to show Clare's hand holding her mother's hand.
Clare, who recently had her breast implants remove to hopefully solve a long health crisis, continued in her post, "So my energy is focused on grieving, healing, and being present at home here in Sacramento while trying to share and help others going through similar life experiences as I'm sharing today."
"I am just thankful for the people in my life who offer genuine unconditional love with no personal gain, and stand by me through thick and thin," Clare added.
"ESPECIALLY WHEN THE CAMERAS ARE OFF with no accolades. Actions speak for themselves."
Clare's emphasis on certain words and phrases seemed to be the Season 16 The Bachelorette star throwing shade at Dale.
Clare also noticeably tagged Bachelor in Paradise bachelorette Abigail Heringer in her post, shortly after gossip Instagram account @Deuxmoi shared the following anonymous tip: "A Bachelor favorite hooked up with a Bachelor Nation recent 'winner' who 'may or may not have been' on a break earlier this year. One of them is on Paradise right now but producers won't mess up her good girl edit.'"
A source told Us Weekly that Dale and Abigail "hooked up" before Bachelor in Paradise began filming, when the financial manager from Oregon was "under the impression that he and Clare weren't serious" anymore.
The source claimed Clare tagging Abigail was to show she's aware and up to date on speculation surrounding her split, and Us reported that Abigail later untagged herself from the post.
While it appears Clare is convinced the model and former football player had hooked up with Abigail earlier this year, an insider close to Dale denied the rumor and rushed to his defense.
"They met once at flag football in New York City that a bunch of Bachelor people attended. Everyone went to a bar after, they did not sleep together. He's never cheated on Clare," the insider said, adding that Dale and Abigail "never kissed or had sex."
"Dale is friends with Abigail," the insider noted.
The insider also revealed that Dale had traveled to Sacramento, CA, on September 28 to spend quality time with Clare and her mother, who is battling Alzheimer's.
"He spent the night at Clare's place on Tuesday, and flew to L.A. Wednesday morning" for a fitness event with The Bachelorette alum Tyler Cameron, according to the insider.
Both Dale and Tyler were reported in great spirits despite their recent breakups. (Tyler was reportedly dumped by his model girlfriend, Camila Kendra, in August after eight months of dating).
Amid the drama, Abigail's Bachelor in Paradise love interest, Noah Erb, seemingly addressed the scandal on his Instagram Stories this past weekend.
Noah said, "So, I just checked my phone and I saw some DMs and some spoiler accounts and a lot of interesting stuff swirling around. Huh."
A woman could then be heard giggling in the background, leading fans to assume that Abigail was with him and she finds the Dale rumors funny.
But it appears their reconciliation was short-lived, and Clare hinted on social media that trust had something to do with their latest breakup.
A source told The New York Post last week that Clare and Dale's relationship "didn't end well" in September and the pair couldn't agree on multiple significant relationship issues, including what state they to live in and when to start having children.
Breakup rumors sparked when fans noticed Dale had celebrated his 33rd birthday late last month without Clare, and he was also spotted in public multiple times with friends -- at a movie screening and Coldplay concert -- but not the blonde beauty.
In addition, Dale also reportedly attended the September 19 wedding of a friend by himself even though Clare had also been invited as Dale's guest.
"Wedding planning wasn't happening which made Clare really upset," a source previously told Us.
"She wants to be in Sacramento to be close to her family, especially her mom who isn't well. Dale wants to remain in NY. They will still support each other and have love for each other no matter what."
Three weeks have passed since Clare and Dale lasted posted anything about each other on Instagram, and they are typically very vocal about their romance and whereabouts.
The last Instagram post of Clare and Dale together dates back to September 10, when Clare shared a slideshow of photos from the U.S. Open tennis tournament, one of which featured Dale by her side along with fellow The Bachelorette couple Katie Thurston and Blake Moynes.
Earlier this summer, Clare and Dale's relationship seemed stronger than ever. They had even been spotted wearing matching rings.
"They are engaged again, but a second proposal did not happen," a source close to Clare told E! News in July. "Clare has been wearing her ring for months and put it back on once Dale stepped up and they decided to give their relationship another shot."
"It's more of a promise and commitment from Dale and there's no wedding planning at this time," the source added.
"They had a conversation over a month ago about their future and decided that they wanted to be engaged again... They aren't rushing anything and aren't even living together permanently yet."
An insider also told Us at the time that Clare and Dale were "happy" together and very much in love.
Clare's journey on The Bachelorette's sixteenth season in 2020 ended prematurely after about two weeks. Producers planned a steamy overnight date for the couple and then Dale proposed marriage seemingly the next day.