She is a haze auto and I was planning on her getting me through 'till the rest of the crop finishes
I fear the worst.
If she is a hermaphrodite and I let the male bits do their thing, would my seeds be automatics or would they be more likely to be hermies too?
If it is a stabilized hybrid, then yes, the seeds produced would be autoflower. If it isn't a stabilized strain, then about half should have the autoflower trait.
I always just pull the male parts off when this happens to me and it usually keeps it from getting any seeds. As far as you question about the seeds they will be the haze auto but that doesnt mean they will be hermies when you plant them.
*Disclaimer* All statements made above are purely fictional and hypethicaly what I may do if I were in that situation