His sincerity means a thousand times more to her than any other empty promise made to date. It's not empty, because Paloma can tell he's more genuine than the parade of liars and parasites her life is inundated with.

She smiles giddily, very foolishly-- not where he can see, as she's bumped her forehead against him explicitly to hide it. "Yes, you may. Nothing would give me more pleasure."