AIBU to think that Nursery shouldn't have done this?

[CtotheB]

We have recently started weaning my 6 month old DD with fruit purée and some BLW. At the minute it is 1-2 meals per day. She was at Nursery all day on Monday so I dropped her off with her usual milk and a jar of food I know she liked and wasn't allergic to (hasn't previously had a reaction). On Thursday she was in from 12.30-4pm so I gave her breakfast and thought she would be fine at nursery and give her tea at 5/6pm. Anyway when I picked her up her diary said she really enjoyed her yoghurt, but I hadn't given a yoghurt for her to have. Queried this and they said they have Nursery fromage frais that they'd given her. AIBU to think they shouldn't have done this, given the fact she a) hasn't had dairy (aside from milk) and b) didn't seek permission?? In hindsight after a bit of research I've decided the only fromage frais she will be having is no added refined sugar, as this is the 3rd or 4th highest ingredient in most!! She's a baby fgs I don't think she needs the sugar..

[Pluto30]

I think the bigger thing here is the OP's obvious fixation on weight gain. God forbid the child ever tastes refined sugar, she'll be stuffing her face on "buffet food". That kind of attitude is going to leave your daughter more unhealthy than she'll be if you just let her have some yogurt.