My tenant won't let me show the rental unit - what can I do?

[Roderick McCleary]

Hi All - 

The Scenario: I live in IL and am landlord to a 2 unit property. Unit 1's lease expired April 30th, 2021 and she has been a nightmare tenant. She claims she is looking to move out but keeps coming up with new vague excuses to buy herself more time. She keeps paying May/June rent so far but she is not peaceful to deal with and has had a few run-ins with the local cops. I have found a new couple who is ready to move into Unit 1 and they have until July 31 to move in otherwise they will look elsewhere. I do not want to lose these perspective new Tenants.

The Challenge: Current Unit 1 Tenant won't tell me the date she is moving out, citing she has to wait for her Mother's home sale to close so she can get money. She won't give a date on moving out and her logic is constantly flawed. I requested to show her Unit to my new tenants so they can see it in person before we can come to terms on a Lease but she refused my request. She said she will not allow anyone (myself included) to enter her Unit while she occupies.

The Question: As the landlord, what are my rights? I have read online that as long as I give her 24hrs (which I have) I have the right to access the Unit. Also, if anyone has any tips on how to remove her from the Unit (eviction?) that would be helpful. Thank you in advance.