I'm confused, how does the nominating committee get to decide who wins and who doesn't? Are they the only ones who decide what names go on the ballot, or are you saying they plan to push for the other candidate? Does the entire school vote, or just those your school considers part of the membership (i.e., paid dues).
Either way, if the other woman wins, she's in for a very rude awakening being as inactive as she was in the past. And the fact that they want you to continue as if nothing changed, says--to me--that they already know their chosen candidate can't step into your shoes and keep the momentum going. Sounds like a situation where this group wants the glory without having to do the work.
Also, what do your bylaws say? We wanted to put in ours that in order to run for a Board position you had to have served on a committee, but given our school's environment, that wouldn't have been feasible. if you have the opportunity to share your accomplishments as president during the election period, I say do that, and then let the voters decide. I think the parents and others who have seen what has happened under your leadership will cast the common sense vote. If your opponent wins, as others have suggested, I would help with the transition and then volunteer for only those things that are most important to you that you want to make sure don't fall by the wayside, everything else, the new president would have to handle, after all, change is good, right?
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