I'm not sure exactly what a compliance fee is. And I'm not a lawyer, so this isn't legal advice.
Still, let's take this step by step.
Did you sign any documents with the real estate agent who showed you the property before she showed it to you? If you did, those documents might have said that you'd owe her money under certain conditions. (I've never heard of that with a rental, though.) But if you didn't sign anything agreeing to pay a fee, then you don't owe a fee.
Next: You wanted to make an offer but "the real estate lady" refused to do so. Again, I'm not a lawyer, but it's likely that her refusal to present an offer would be interpreted by a judge as the agent's willingness to forfeit any commission she might have been entitled to . . . had you submitted an offer, had it been approved, and had you agreed to pay.
A side note here: In many areas of the country, the landlord pays the commission or fee. There are some areas where it's typical for the tenant to pay a fee. I don't know how it is where you are. But, again, that would have been discussed with you and confirmed with paperwork that you would have signed.
Next: the agent sent you a lease agreement. It's probably irrelevant what the lease amount is, since the agent declined to submit your offer. Even if your offer had been submitted, it would have required your signature (preferably before the offer) and then the landlord's signature. A blank lease agreement--or even one with the landlord's signature--isn't enforceable unless you sign.
Next: The agent wishes to charge you a "compliance fee." Again, I haven't heard of that. Complying with what? Was there any agreement in writing between you and her?
My advice: Call up the agent's broker. Ask for an explanation. But don't pay unless you're absolutely comfortable paying and fully understand what the charge is for and what the situation is. Otherwise, contact the local Realtor's association (if the agent was a Realtor). And, if necessary, contact a lawyer.