How do I as a male tactfully handle a woman who won’t take no for an answer?

I have a female neighbor who I always saw as an acquaintance and nothing else. I never gave her any indication that I was interested in her. A week ago she suggested we should go out on a date but I respectfully declined. Yesterday she saw me while I was jogging and started running with me, asking me if I changed my mind. I said no, I hadn’t. Today she asked again. I don’t mean to hurt anyone’s feelings but I have been very clear from the beginning that I had no romantic feelings for her.

How do I as a male tactfully handle a woman who won’t take no for an answer?
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