I always had Anxiety but it became Acute Anxiety when I started to transition which made everything Extremely difficult and has taken me a long time to beat. Went on xanax daily, then quit that and went on anti depressants Escitalopram 5mg which did Help me get my independence back, I stopped worrying if those schoolgirls 5 aisles away in the supermarket were laughing at me or not. If those guys smoking near the front door would stab me on the way out. They really helped me to learn no one really cares as much as I think they did. I was on them for a good few years and they did help but they do have side effects.
I had some weight gain, fatigue, couldnt code programs anymore. My eyes were focusing slower which made driving harder. I have to drive 5-6 hours to get to gender services and was unable to do it alone due to fatigue. So I went off them (the withdrawels are not too bad, especially after kicking xanax) and now I just take Xanax now if I get an acute anxiety attack. (Xanax is near impossible to get a perscription for in Australia now, doctors are no longer allowed to perscribe)
My doc insists that they should not have caused weight gain or fatigue, I have far more energy and less appetite since going off them though.
tl;dr Yes they probably will help but you will have side effects.