I'm sorry the lady was so bratty towards you, but I would suggest that you call again tomorrow & ask to be put on a wait list (if they have one). You did seem to turn the corner rather quickly & if you are bipolar that could be the real reason why. I know you're feeling really good right now, but with bipolar you pretty bad, then really good, then crash to an even lower place than before. Ideally, you would get in to see the doctor before thing turn and get really horrible again (and they ALWAYS get worse again with bipolar -- that's just how it works).
If it's too much for you to deal with the scheduler lady, maybe you could have your mom call. I'm just very concerned that you will crash and end up dangerously depressed if you have to wait all the way until the 13th. Please let them know that you were feeling very depressed & now you are feeling really, really good. Tell them that a prior doctor was thinking you may have bipolar. All psychiatrists have appointments available for urgent situations (don't call it an emergency, but it is considered urgent or emergent if you are now entering a manic cycle). The manic part of bipolar is not really healthy either, but the worst thing is that it is an indicator that a really bad depression is going to follow.
I'm not trying to diagnose you, but with you saying that they suspect bipolar & that you went from being so depressed to now feeling really good sounds a lot like that may be the case. Bipolar is very manageable with medicine. They can keep you from getting the really bad depression & can help you be able to rest and get proper sleep during the manic times.
Take care of yourself.