Is this considered rude?

Yous should not even waste your time entertaining this person. If they dont want to hang out with you then forget them. Dont beg anybody to be your friend and yes it is rude but there isnt anything that you can do about that persons behavior. So continue to be nice to that person but dont bend over backwards to make them hangout with you. If they want to hang out then hangout with them if they dont then dont stress!