Figures this would happen . . . . Thats exactly whats gonna happen if a small lie keep snowballing and snowballing until it becomes way too big for everyone to take it to the face.
I can understand why he froze on the spot. Those words came out unexpected.
Since its all some stupid lies and misunderstanding, the only real way to salvage this situation is for Inuzukua to explain all the situation from A - Z. That includes Saotome girlself asking him on a date and Vina suggesting the fake relationship.