We’re on a “break.” And I need advice.

Am I wasting my time? I know this girl is worth it but how do I show her she can trust me? In my opinion at least, I haven’t done anything that would even come close to being considered as cheating, even though I’ve caught her (“jokingly”) flirting with other guys.

Context
I met a beautiful girl back in September and we hit it off real quick. We started talking to each other and soon enough (a couple months) we were officially dating.
A week before the holidays she asked me if I wanted to take a break since she’ll be going back home to South Texasand she doesn’t think I can do long distance. I hate breaks so I told her no, but that didn’t last long cuz she found out that I hadn’t deleted my bumble, even though I haven’t been using it cuz this girl is the only one on my mind 24/7.
Apparently, she can’t trust me anymore. Now I’m not really a big emotions guy but I started investing feelings in this relationship at an early stage and I feel like a noob.
I don’t wanna break up with her! We’ve been on this break for about a month now and I don’t know if there’s any point waiting for her or not. Whenever I talk about a future event, she brushes it off by saying that she doesn’t know if she’ll be there cuz we’re not together. Today she told she’ll be missing my graduation walk and I don’t know how to feel about it.