Can a woman happily date a younger man when she's in her 40s?

Hi Guys,
I’m 44, I’ve started dating a guy 9 years younger than me. I’m trying to find my peace with this as I really like him a lot. We get on really well, talk for hours, connect on a physical level that is wonderful. He wants children, I have 2. I find myself worried about how I look in the morning when we wake up, I notice my skin is sagging and his is tight, he has beautiful firm skin around his face and I feel ‘old’ next to him. All this to say, I don’t want to feel this way. Is this society’s fault, where it’s fine for an older man to date a younger woman but not the other way around? I want to be happy, I want to embrace this feeling again as it’s been such a long time, but can I have another child? Do I want to have another child? Knowing he does should I just end it now and not get more involved. We are already quite close and spending a lot of time together, he’s becoming my BFF guys! But I can’t get past this feeling of just looking and feeling old and terrified about pregnancy at my age. What do you think?