We are allowed to take cakes to our kindy but the rules seem to be a little different to the ones Audax is saying lol
'we are only allowed to do cupcakes but not the big one they have to be thoes tiny baby ones. No nuts or cream.
they are given out as the kids LEAVE kindy so the parents put up with any sugar highs lol

Sounds like you have done all you can to follow the rules of your kinder... the egg free one seems like a safe option if you dont know!!
Good luck!