How do I help matchmake my colleagues?

For context, my teammate (F, 31) is interested to get to know another colleague from a different team (M, 28). The guy is definitely single and doesn’t reject the idea of a relationship (got to know as another teammate helped to ask). FYI, the guy has an introverted personality.

I’m not sure how to help convey my teammate’s feelings to the guy (like help to set a meet up, ask if he’s interested etc), without making it feel awkward for the both of them, should the guy is not interested in my teammate. Any suggestions?