The essential thing is fluids - being de-hydrated can be dangerous, whereas, unless she has lost a lot of weight, not eating for a week won't do much harm.
My ds (also 2) has sometimes gone through a week or so either at the beginning or after big holidays where he wouldn't eat. It doesn't bother me, as long as he drinks - and during times like this, I'm not fussy what, so milk, water, juice - it's fine. I've added vitamin syrup to water before if it's been more than a couple of days worth of decent eating.
Like others have said, the more you force it, the worse it gets.
Grapes, raisins, tiny cubes of watermelon / melon, cheese cubes etc works well if left out on the table. Sometimes I might "play" feed his stuffed toys, and sometimes he approaches for his share too, other times he doesn't. Also, having a friend over usually good, as they like to copy eachother. Just try and stop "feeding" her for the moment, let her lead.