Am I dramatic or was this coercion

I was on a first date with a guy and I agreed to meet at his apartment to then find somewhere to eat. We ended up watching a movie where he began touch my boobs and my legs. When I moved his arm away he would pout and tell me how he wanted a relationship with me but his love language was physical touch and I needed to let him touch me. He also began telling me that my anxiety was making him anxious. He then told me he wanted to cuddle in his bed. When I reminded him I didn't want to have sex yet he got very upset yelled at me and stormed off while pouting. He eventually called me into his room and began to get on top of me and was pushing my shirt and bra up then asked me to take my bottoms and underwear off. I did because I felt stuck and then without warning he stuck it in me. I felt out of my body at this point and just froze. I don't know if this is considered coercion or not but I do know I feel a lot of shame and guilt as well as a lot of blame on myself. I know I should have done things differently like not even going to his place. I feel stupid and used and like I hate myself more.