Hi, fats, welcome to PsychCentral (PC). Thank you for sharing your dream. I took a professional dream course associated with the International Association for the Study of Dreams: International Association for the Study of Dreams I'll give it a try.

What struck me was the woman in a military-style uniform. Police and military in dreams can mean "structure"/rules, "law and order" that sort of thing. It could be that you are feeling a bit hesitant about actually approaching this woman? One dream dictionary site had this to say about billiards, which I found a bit consistent with the woman being military-related?

"If you see billiards in your dream, it means that you might violate the law; perform the wrong, illegal actions; it is a sign of litigation in court; problems in relationships and deceit of friends." From: Interpretation of a dream in which you saw «Billiard»

It could be yourself trying to warn you off or worried about getting more involved with this woman?