I guess you're talking about the lvl 2 mission at the governor's house.
First, to start dalton's romance, you need to find Luke before 5 turns and having 50 of friendship of him. If you don't meet these requirements, the romance won't start.
In the battle, these are the skills you need: Oral Top, Oral Bottom, Perversion, muscle, kink bottom and anal bottom. If your stats are low, you might lose the battle (there's a bit of luck involved even if your stats are high, as every battle in the game).