Xbox live relationship? Should I worry?

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My bf has been talking to another xbox user live. I know they jave been interested in each other because I jave read the messages. Obviously they have been getting to know each other (location personal interests, single etc) ive read the messages. shes given him her fb name and all of a sudden he has been texting her. he asked me to pass his phone, and im glad I looked because he have been texting her like he is single...her name on his fone is xbg im assuming xbox girl...lately he have been playing until 4am knowing he has to work and he will leave the room and go on fb...I know because ive seen the history and the pics he looks at and the fact that he goes on the messenger....now it may sound petty to some but idgaf because we been together for ten yrs and I dont appreciate this cuz meeting is possible and there is a such thing as emotionally cheating.