How on earth can his girlfriend stay with him? Doesn't she have any self-respect?
It's very easy to say that as an outsider. Just as it's easy to ask why a victim of domestic abuse doesn't leave their abusive partner. People like to talk down any woman who happens to date/marry a footballer, as if it's impossible for them to genuinely fall in love with a footballer, and as if their entire relation revolves around his career status. There is an assumption that they are all self-confident, calculating whore, in complete control of what she wants.
We don't know the ins and outs of their relationship, we don't know her character. It's possible she has no self-respect, or it could be a lack of self confidence, or it could be he has stood by her during some difficult times and she feels she owes him, it could be the fear of loneliness and starting again that keeps a lot of people in relationships longer than they should, it could be that she strongly believes in second chances and wants to stand by him and help him become a better person, to learn from this and change and if there's a repeat occurrence, or if she is willing to work past him agreeing to meet someone and kissing them but if (despite his denials that it went further) it's proven to have gone further, then she'll be off.