No, you may not "kick out" a tenant. If she refuses to leave, and is in violation of some lease term, then you may file for an eviction. However, "self help" evictions are illegal and can cost you a lot of money.
If this answer was helpful, please mark it as helpful or as a best answer. This answer is for general education purposes only. It neither creates an attorney-client relationship nor provides legal guidance or advice. The answer is based on the limited information provided and the answer might be different had additional information been provided. You should consult an attorney.
Dear she refuses to leave?
I am an attorney licensed in New York. I do not practice law in New Jersey.
Your tenant has an attorney. And you claim to provide constant 58 degrees heat. In the heating season, that would be a violation of New Jersey law.
New Jersey law requires an indoor temperature of 68 degrees between the hours of 6 AM until 11 PM, and at least 65 degrees between 11 PM and 6 AM, from October 1 to May 1.
You should become familiar with your obligations as a landlord in New Jersey and to know what a tenant expects from you based on the law.
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The answer provided to you is in the nature of general information. The general proposition being that you should try to avoid a bad outcome if you can.