Am I overreacting?

I've been talking to this guy, T, for almost two months now. We have kissed, had sex, cuddled, and did a bunch of things that would have others believe us being in a relationship. Yet, T never had asked me to be his girlfriend due to him going through a process of a divorce and his baby mom had their daughter almost a month ago. His majority of the time is with his daughter. It's a bit weird because I never went through this situation before and I don't get to see much of him since he's with his daughter. Just this Thursday he came to my place and seen me. I was super excited and he gave me kisses and hugs. He did kiss me in front of his ex-father-in-law's friend so I'm assuming that's a good sign? Then the day after he came over again and gave me hugs. Which I soaked in all his cuteness up because I never know when I'll get to see him again tbh. But something today happened. He texted me, like he has been doing for awhile now, and he was getting frisky. He did send me nudes for the first time. I wasn't expecting it and my first thought was him being a fuckboy because I have talked to guys before and they send me nudes then best be on their way doing it to another gal or gals. Idk if I'm just assuming the worst because I have been played before. So far this is the only guy I truly do like a lot and the only one I have talked for for more than a month and a half. But then again we have gotten intimate before and this was the first time he sent nudes so I reckon it's not as bad as I'm pertaining it to be? Obviously he looked great and I made sure he knew too. I honestly don't want to lose this guy. I want us to stay in each other's life for as long as it may be. What are your thoughts? Input is what I need tbh.