On any contract, an offer can be withdrawn before it is accepted, unless there is a time limit for the offer to be kept open. Whether there is or not will be dictated by your lease or your offer of renewal. However, with a lease situation, your lease may also have required a 30-day notice of non-renewal, and now on May 7 you can't give such a notice for a June 1 lease end. As with another question I just answered, your lease may say what happens if the lease expires and the tenant stays over that time - it may turn into a tenancy at will and you need to give a 30-day notice of that on June 1 to terminate July 1. My suggest if there was no time limit for them to respond to the extension offer, withdraw it in writing ASAP> If they saty past June 1, so be it, deal with it as a tenancy at will and go thru the notice to quit and eviction process, the latter if necessary.
To questioners from West Virginia & New York: Although I am licensed to practice in your state, I practice on a day-to-day basis in Massachusetts. I answer questions in your state in areas of the law in which I practice, and in which I feel comfortable trying to offer you assistance based on my knowledge of specific statutes in your state and/or general principles applicable in all states. It is always best, however, to work with attorneys and court personnel in your own area to deal with specific problems and factual situations.