No, the statement is not defamation as it was not published. You may want to get a restraining order against this person if he won't stop.
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All of the attorneys who have responded here citing the fact that private communications are not actionable as defamation are correct, of course, and the advice they given-- that you are not subject to liability on such grounds -- is sound. But you still have a problem, it seems to me. You still have an older person repeatedly contacting you and expressing sexual interest, notwithstanding that you have expressly told him to stop.
I suggest that you ask a local attorney to write and send an unambiguous cease-and-desist letter to this person, citing your right to seek a restraining order if necessary and your intention to do that if there are any further contacts in violation of your instruction to stop. That may be effective and, if not, then you will want to consider asking the local court to enter an order of protection.
Don't be intimidated by this guy. The facts, as you have set them forth, are not favorable for him and it is unlikely that he will have the bravado and confidence to continue his improper conduct in the face of your clearly expressed intent to pursue your rights to be free of his bothersome actions.
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