Interesting, though implausible, scenario. After the pardon, Bidet could appoint Hitlery as his VP, resign at 11:55, and attend the immediate swearing in of the historic first female POTUS (but let her serve only 3 minutes so she wouldn’t have time to order a nuclear war).
When a Vice President is chosen, he or she has to be confirmed by Congress. So if Bidet resigned, Paul Ryan would become Acting President, if he has not been replaced before then as Speaker.