i think she doesn't because he was going to kill her when she caught up to him. Also tayuya seems afraid of him by the way she reacted when she saw him, and kimimaro said he will kill her. Personally i think they would make a perfect couple. And i think he might like her even though she doesn't
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There is no clear evidence in the Naruto series to suggest that Tayuya has romantic feelings for Kimimaro. They were both members of Orochimaru's team and seemed to have a respectful professional relationship based on their interactions.