Showing when house is vacant or with tenant

I am interviewing an agent to list my property for rent. The tenant is still living in there until 5/31/16 end of lease, or 6/30/16 if I would let her stay one more month. The agent I just talked to will only work for me when the tenant moves out and leaves the house vacant and I will have to prepare the house according to her recommendation. I think she is picky and wants an easy job. I don't want to leave the house vacant for at least 2 months (she estimated that time frames to find new tenants for me) but wanted to list/ show the house as soon as possible. I believe the current tenant will be cooperative since she has rented from me for 5 years without issues. I am not sure what is the right thing to do. Please advise. Thank you all.