Should I delete this Facebook friend?

[Maxxxim]

My friend from Spain has recently moved to another country and he's becoming more of a jerk.
He tells me that he's working out at a gym and told me not to send him too many messages. He never told me the truth about his girlfriend and always referred to her as his sister.
He told me not to send too many messages since he can't respond to them and his "sister" is getting annoyed with me. I never knew he had a girlfriend.
I apologized... I was upset but at the same time I felt angry. He's a liar. Although he is an online friend, we have been online friends for 5+ years.
Well, I'm on the fence and I do not know what to do. Should I delete him? Should I keep him and wait for him to talk to me?