Husband wanting a female therapist

I'm really not trying to seem controlling. I was abused and cheated on in my last marriage and they would always pull the "she's just a friend" thing. My husband has been needing therapy for a while because he's pushed down a lot of childhood trauma. He didn't tell me about any of his trauma because he didn't want to be too broken for someone to love. He tried to take his life back in November and got diagnosed with depression, anxiety, post traumatic stress disorder, and borderline personality disorder. He is finally trying to get a therapist now that our insurance is in order and he said he wants a female specifically because he doesn't feel comfortable talking to a man about his feelings. For masculinity reasons, and trauma reasons. This worries me because I've heard stories of therapist sleeping with their patients. I know people say they are professionals but sadly there are professionals in every profession who act inappropriately and I can't handle the thought of him cheating on me. I'm not sure how I can be okay with this. Any advice?