Well, that's the price for the second chance, still given despite all the treachery.
One might think that it is odd that Froggy gave up suddenly, why she didn't took wrathful revenge on the Pigeons. But if you think about it, she did: According to the notes on the wall she asked Bunny Nun for help, the scariest of the Nuns, so scary even Froggy fears her. Unleashing Bunny Nun on the Pigeons is the most horrific revenge Froggy could think off.