Don't worry - she will keep having her nap (rest) if you keep putting her there!! Utilize quiet toys if she gets upset about taking a nap, and tell her "mummy needs to do xyz and you need a rest". I think you are doing your child a disservice if you allow them to decide to drop a rest before the age of 3. What 2 year old (or younger) knows what's best for them? Little tackers need a rest to make it through the day and your job is to enforce it. Just my opinion, of course .
My DS has never been a good day napper and I let it slide for a while and then thought, hang on, I'm the parent here - you (and I) need a rest! I can hear him playing quietly with his bus in his bed at this very moment, and, if he were up in the living room he would be too stimulated to really have that down time (alone time). If you set the pattern that they need to rest pretty much every day then it should be fine (after some initial resistance). I usually get him up after an hour or so if I can hear that he's still awake.