News of Tristan Thompson and Jordyn Woods' alleged affair broke on Feb. 19

Khloé Kardashian is thanking her fans for their support during this trying time.

On Tuesday, the Keeping Up with the Kardashians star, 34, sent out a message to her 26.4 million Twitter followers, showing them love for standing by her side after her boyfriend Tristan Thompson allegedly cheated on her with her sister Kylie Jenner‘s best friend, Jordyn Woods.

“Hi loves, wanted you to know that I appreciate you!” Kardashian wrote. “I’ve been reading your kind words and they really are a blessing to me. I love you! Thank you Thank you!”

It’s the first time Khloé has addressed the controversy, aside from a cryptic quote about “snakes” she posted to her Instagram Story on Sunday. And while the outspoken reality star will likely have more to say, she explained that she’ll be lying low on social media until she’s ready to talk.

“I’ll be back when I’m in the mood to chat with you all,” Kardashian added, giving some parting advice. “Until then remember to be kind to one another.”

News broke about Thompson and Woods’ alleged affair on Feb. 19, with Thompson, 27, tweeting “FAKE NEWS” minutes later before quickly deleting his post.

Reps for Kardashian and Thompson did not return PEOPLE’s requests for comment — and Woods’ rep had no comment — but the drama has rocked the famously close-knit family.

“Khloé is still hurt. She still can’t believe that Tristan hooked up with Jordyn,” a source told PEOPLE recently, adding that the Revenge Body star is trying to stay positive and “focus” on their 10-month-old daughter True.

“Everyone thinks she will be better off now. Tristan won’t be able to hurt her again,” the source continued. “For him to hook up with Jordyn is the ultimate betrayal.”

Khloé Kardashian, Tristan Thompson and Jordyn Woods
| Credit: Jamie McCarthy/Getty; George Pimentel/Getty; Mike Marsland/WireImage

It doesn’t help that the entire KarJenner clan once thought of Woods as family (Woods was even a member of the Good American squad, representing Khloé’s clothing brand).

“When they first started hearing on Monday that Tristan made out with Jordyn, no one really believed it,” one source said. “That Tristan would be inappropriate, yes everyone knows that he can’t behave, but that Jordyn would make out with him, it first seemed like a made-up rumor.”

Jordyn Woods and Kylie Jenner
| Credit: Jordyn Woods/Instagram

Though it’s been hard on Kardashian, another source told PEOPLE that Jenner is struggling to move past Woods’ alleged betrayal, too.

“Kylie still seems torn,” the source explained. “It’s going to be very difficult for her to cut Jordyn completely out of her life.”

Following the news of the scandal, Woods moved out of Jenner’s home and back in with her mom. And while Woods is doing all she can redeem herself, the source said Woods is having trouble owning up to the truth.

“Her story keeps changing a bit, and it’s almost like she is digging herself deeper,” a second source told PEOPLE on Monday. “It’s been a week now of nonsense explaining from her side. Everyone thinks she wanted to hook up with Tristan and she just didn’t think she was gonna get caught.”

This isn’t the first cheating scandal Kardashian and Tristan have weathered. Last April, photos and videos surfaced of the basketball player getting close to other women just days before Kardashian gave birth to their daughter, True.