Relationship Advice Please?

So first off there have been lots of sexual rumors about my relationship even though all we have done is kiss. But anyways someone made a joke about me giving a rimjob and I kinda freaked out emotionally. Well I ended up talking to my boyfriend and now we might be breaking up because we don't have trust building up after he cheated on me (it was very small sexting) but he also feels I am pushing him away and icing him out. I want the relationship but I'm also very depressed a lot and have been also trying to help myself out. He's been very supportive but the relationship feels toxic. The discussion of breaking up came up today and I honestly do and don't wanna loose him