You're very right about only being two years in and still having so many other ways to change and grow transition wise. You're mother is wrong though. I know a lot of other trans guys here struggle or worry about finding partners that are women and I did too. I figured I'd always end up with a woman who identified as pansexual or maybe bi, but that isn't always the case.
I'm in a very happy, supportive and healthy relationship with a cis woman who identifies as straight and has her whole life. The big thing I noticed when dating or any relationship is I fixate a lot on the fact I'm trans, because it's such a big part of me. But that doesn't mean everyone else fixates on it as much as I do. I was able to date way more smoothly when I actually stopping trying so hard to compensate for what I thought I was missing.
Once I started just being friends and hanging out, I actually dated quite a few straight cis girls. Because they just liked me for me, they liked my personality and it didn't matter at the end of the day what gender I was. But I think changing my view and mindset really helped me personally when dating, because it also didn't make me feel so unwanted or rejected since all I was doing was just being a friend and it happened to go further.
So while I know how discouraging it can be (my mom sounds similar to yours), remember to not give up and to just keeping trying!