Well you're only a month on T. I'd say wait a few more months, your issues could resolve themselves. I had one more period when I went on T then it stopped. I never had cramps or felt crappy due to estrogen again.
As for my own reasoning for wanting one, well I know I'll never want to have my own children and I know I'll be on testosterone for the rest of my life. So those parts are completely useless to me, might as well get rid of them. Right now my body is trying to produce estrogen but being shut down by the testosterone, it seems like it would be easier on my body to just have the testosterone. Also I'm waiting to change my sex legally until I have one, so that's another big reason I want to have it, then be able to do that and be done with everything. Unfortunately, last time I tried, my insurance wouldn't cover it. I had a trans friendly surgeon who understood that this was medically necessary for me, and wrote a letter exaggerating some things that made it sound more medically necessary for insurance, but nope, they wouldn't cover an "elective procedure" for a healthy 21 year old.