Happy to hear you have decided hugs will not hurt you. Sorry to hear you are trapped in depression, isolation, and loneliness. I hope it doesn't last too long for you.

I am female as is my T, and we hug all the time. Thankfully the hugs started at T's suggestion and I never had to ask (I never would have had the courage to ask either). However, T did mention at one point that she refuses to hug a male client due to the increased possibility of the male client developing sexual feelings for her. And of course some T's do not allow hugs or touch to any client period. So should your T say no, it's just her boundary -- it's not you. Do not take it to heart. You won't know until you ask, and I commend you having the courage to do so. I'm rooting for you!