The Royal Game: Bighead Vs Coco

Coco loves to play Chess. I love the idea of playing Chess, but I'm a very entry-level player. I see maximum 3 moves ahead, and my end game is not very impressive. But I do love the game. I dusted off my set and invited Coco over for lunch and a game. 4 hours later, we had to stop. I still have 1 knight, Coco still has 1 bishop, and we both have both rooks and our queen. What will happen? I think I'll be destroyed in 4 moves, but I can't see where it's going to come from....
To be continued.........