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I am sorry you are dealing with this situation. It is not illegal and is often done in the industry as a means of stirring up interest about the property. It is a marketing ploy that many Realtors use and is not unlawful.
You certainly are already off to a shaky start with her. If you agreed to list the property you will need to terminate the agreement. This can be difficult if the language in the listing agreement does not provide for termination. But yes if you signed an agreement with her then in theory she can not agree to let you out of it but you can simply take the house off the market which leaves her without a listing anyway. She can't force you to sell your house but she can enforce the terms of the agreement which usually has an exclusive right to sell which prevents a listing with another agent.
In this situation, assuming you signed the listing agreement, I would advise her we are off on the wrong foot and you are prepared to file a complaint: http://www.myfloridalicense.com/dbpr/re/complaint.html with the Florida Department of Business and Professional Regulation. This would be based on the fact you have not formalized your agreement and she is not providing you a copy (which is unethical).
Next let her know you are also prepared to go to Mediation to resolve this and why waste all that time and why does she want to work with a client that has no confidence in her and no desire to work with her, what a waste of energy and time.
I am very sorry you are dealing with this. You do need to get a copy of what you signed with her and if she doesn't provide you with a copy, immediately submit a complaint using the link above.
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