am I really that shitty

my boyfriend and I started the gym today and I met him there cause I had to get the kids to baby sitter and when I walked up to him and his friend I noticed he was straight up checking a girl out working out and I was just like…wow.. went to work out and afterwords just said like I think that’s kind of disrespectful like I’m coming here to better myself and finally look good I’d appreciate it if you didn’t have to check other women out like that and he basically said I was seeing shit and he didn’t do that at all and he’s not doing that. So we get home now from work and we are relaxing and he’s all fucking weird towards me now. I told him I am sorry for thinking I saw something and I trust him to be respectful towards me and everything and he’s still being so weird. I tried to cuddle with him and he won’t. I asked if we are okay and he said ya we are fine just fucking stop! So I just came to the other room alone. I’m crying now. I feel so sad.