Like Allison said, you can put the bows without your name on it so nobody will know who makes them and you can still run your bussines like usual.
Be professional, courteous and don't let her intimidate you.
Sometimes you need to compromise, but don't compromise your website or be able to sell anywhere else. Ask about what she expects her sales to be just for bows, the markup, etc, etc.
I really hope everything will work out as you want. Wish you the best!!!