Zippo and Flask wrote:
How about the chances that may have existed from the appearances of Q?
Janeway stresses over and over again how devoted she is to getting her crew home. If that's so, shouldn't she have taken one for the team and let Q have his way with her, to get her crew home?
Seriously, if an omnipotent being arrives and you are in a desperate situation, would you act like such a bitch?
She couldn't Q to keep his word. If he was lying, then not only would they NOT get home, now she'd have an omnipotent kid to look after who'd most likely destroy them all in a childish temper tantrum.