I don't know what that means. Is that June 1 of this year that her name is on the lease or that she is not on the lease?
If I were you, I would also check into your local common-law statutes. She may be already entitled to a portion of your property or income if she can prove that you have been cohabiting for a certain period of time. Also, if you sponsored her into the country, you may be financially liable for her for a period of time. Here, it's 10 years is you sponsor an immigrant.
Depending on your circumstances, you may need legal counsel.