I need a cell phone, but I can't go, can I send my daughter with her card and ID?

Yes, there are usually no problems. Unless they ask for a signature. But I don't remember them asking for it at that Apple Store.

It is an additional with which you can make any purchase while you have a limit. You must also bring your ID in case they ask for it

Good personalized attention

I can send her the card that I am the holder and that she buys it.

If when you say that the card is yours, you mean that it is an additional card in your name of which you are the holder, then I do not see any inconvenience. Personal info can be uploaded to the device personally when you receive your mobile