Should I be bothered by this?

So I got on my boyfriends facebook today and seen that a girl that he had 30 mutual friends with had accepted his friend request over a week ago. I texted him and asked if he thinks it's okay to send other girls/guys requests when you're in a relationship. He said "as long as u don't talk to them or they don't talk to u." I said that I don't need to send any other guys a request because I only wanted to talk to him. & he replied saying that he would delete his facebook if it meant having a healthy relationship and that he doesn't need to send other girls friend requests either... But I just seen that a girl accepted his request.. Should I be upset by this or not? Thanks!