Sometimes I need "me time." Usually my "me time" is when I work out or shower or cook. My honey needs a bit more "me time" than I do. I think it's because he has more friends than I do that he spends time with, so I get some of my "me time" when he's out working on something with his buddies.
It's pretty normal. We are both fairly introverted people, and after hard and stressful days or weeks (we are both students), he needs to take more time to relax... For me, he is really the only good way I "recharge" after being around a lot of people (and I only sleep well next to him), but I know it's not a personal thing when he needs time away and I don't. It's about understanding each others needs and making sacrifices for each other. Sometimes he'll take his "me time" right away; sometimes he'll give me the time I need with him right away.