I know what it's like to be socially awkward. I've always been shy and it's plagued me for most of my life. All I can say is just be you. People come from different backgrounds and all have various persona. At the end of the day, homogeneity isn't a requirement for any community or bond like a friendship. You don't need to be one thing or another to fit into a group. So, I really wouldn't feel bad about being more "masculine" in some of your interests and behavior. It's not a big deal. After all, the whole point of transitioning is to be genuine and happy with yourself.
And for what it's worth, I always feel like an outsider in larger groups of women. Because most see me as a "gay guy" I'm usually tolerated or somewhat accepted, but there is an acknowledgement that I'm not the same. As for groups of men, well, yeah that never worked, lol. I really haven't been around a large group of transwomen, but I'd imagine I'd feel the same way that I do with cisgirls. From my experience, there usually is a big age gap between me and the transgirls that I know which can alter how much you connect with someone. I can relate with people that are older than me to a degree, but our experiences and the circumstances of our transition are a bit different. I'll never be able to relate to having a wife, kids, etc. that's one of the reasons that I've always felt a tad alone in the trans community. If anything the people I relate most with are cisgirls my own age, but again there is always a division there as well because I'm tolerated but not fully allowed into the female camp. In any case, I don't mind being a unique snowflake nd blending into crowds even if I'm not a total fit.