"Ugh. It got us," Hannah, 27, wrote on the image, along with a fever emoticon and green-virus emoji.
Based on the couple's Instagram posts, Hannah and Adam traveled to Positano, Italy on 15, which Hannah described as "a dream," and then they took off to Tuscany followed by France, where they stopped in Nice, Aix-en-Provence, and Versailles.
The Season 15 The Bachelorette star posted a slideshow of photos with Adam during their time at Villa Gallici Relaid Chateaux on June 19 and captioned it, "Provence and @admandew, they both stole my heart."
Hannah wore a white and green strapless sundress for the occasion.
And on June 20, Hannah posted a photo of her twirling her blue and purple floral skirt, writing, "This, Madame, is Versailles."
Adam also posted photos of the pair kissing at the Palace of Versailles on his own Instagram account.
"I think we can all agree that King Louis went a little overboard with his palace. 1,200 fireplaces? Come on man," Adam joked alongside the romantic pictures.
Hannah and Adam recently moved into a Santa Monica apartment together in California and adopted a puppy together named Wally.
Hannah, originally from Alabama, designed the "cozy and homey" place with neutral colors, such as gray and beige, as well as natural textures, rustic and wooden decor, and "muted and earthy tones," according to People.
Hannah, who starred on The Bachelorette in 2019, was first romantically linked to the model in January 2021 after they met on a dating app.
Hannah told Tamron Hall in April how she's "so thankful" for the relationship.
"It's such a mature relationship of two people who have gone on different journeys. I think I had to go through that journey of asking this question, 'Who am I?' And 'What do I want?' And he's gone on that journey too," Hannah said on Tamron's talk show.
"And we are people that do not find wholeness through each other but through becoming whole people as individuals that can then amplify each other's growth."
Hannah elaborated, "And that is something that I don't think that I've ever had, is somebody that is equally encouraged and motivated by continuing to challenge and get better and move forward and grow in life as I am."
Hannah said she's "really proud" of her romance, adding, "[I] can really see the progress I've made just in how I view my relationship and how I view my relationship with myself."
Hannah won Dancing with the Stars' 28th edition after her The Bachelorette stint. She also wrote a memoir, God Bless This Mess: Learning to Live and Love Through Life's Best (and Worst) Moments, which was released in November 2021.
Hannah's follow-up to her first book, God Bless This Messy Journal, hit shelves in April.
Hannah accepted a marriage proposal from Jed during The Bachelorette finale, but their relationship quickly fell apart and Hannah chose to call off their engagement once she learned Jed had a girlfriend back home in Nashville while he was filming the reality dating series.
Hannah then attempted a second shot at love with Tyler, who instead moved on with supermodel Gigi Hadid, and also appeared on Peter's The Bachelor season with confusing lingering feelings, which resulted in the pilot and Hannah hooking up in early 2020 while Season 24 of The Bachelor was airing on ABC.
Hannah then quarantined with Tyler in his hometown of Jupiter, FL, for several weeks in 2020, but their relationship never became more than friends.
Both individuals have insisted, in fact, they never even kissed during that time together, and Hannah later admitted that she felt like a "backup" option for the former general contractor from Florida.
Hannah claimed Tyler's last text to her was, "Well... if you rock with me, you rock with me. If you don't, you don't."
Hannah found fame when she initially competed on Colton Underwood's season of The Bachelor, the franchise's 23rd season.