Is it rude if I write my daughters name on her food?

My daughter is going to stay with her grandmother for two weeks and her dad lives there as well. I spoke to her grandmother if there is anything she needs for her house and she basically give me a list of all her basic needs food clothes bras socks etc.

I gave up on expecting her dad to buy her food thats another story. But im going to the store on sunday to let her pick out food she likes (we are vegan too which is part if the reason I offered to buy her food for that house).

Is it rude if i put her name on the food so they wont eat it not trying to be petty but one time I read her texts with her dad and he asked our daughter to buy him food (shes 11). Most of the time hes not there and she spends time with her grandmother which they have a great relationship. He does pay child support but its not enough.