Is it normal to not be obsessed with your partner?
Yep.Totally normal
Yes. You don’t have to be obsessed with your partner for the relationship to be loving or strong; steady affection and respect often matter more than constant butterflies.
“Obsessed” can make for a dramatic love song, but it isn’t the standard your relationship has to meet. Lots of people feel close to their partner while still having their own interests, enjoying time apart, and not thinking about them every minute.