i am 98% certain this is how it goes, but there are people with more panhel knowledge, so feel free to correct me.
if you pref house a and b, you rank your houses on your bid card. by signing this card after pref, you agree to accept a bid from either of these houses. a bid is vaild for one year, so if she decided three days after bid day or three months after bid day that she wanted to accept, then she could.
in terms of not wanting her back, you really don't have the ability to refuse her. there are always stories here about people who show up to bid day crying because they really wanted to be an xyz, but got a bid to abc instead. she may have been really disappointed, but the fact that she came a few days later shows that she is willing to give it a chance.
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