You’re about to enter into a partnership that neither party should take lightly. This is an opportunity for the agent to pitch you, just as you’ve pitched her, and convince you that she’s the right person to represent your work.
You’ll have additional questions more specific to your work, so don’t hesitate to ask them. They’ll simply show the agent that you’re savvy about your book’s target market. Agents are used to these inquiries, so they are unlikely to be surprised by any questions you may have. And if an agent refuses to answer anything on the list above, that should be a red flag that something is amiss.