Old high school friend's a bit too needy

DEAR AMY: I recently reconnected with a friend, "Jenny," from high school. We had dinner a couple of times, but there was really nothing more to it, at least from my perspective. Jenny lives two hours away, and while I left the possibility open for something romantic to develop, it ended up being just a friendship reunion for me. She, however, apparently expected a lot more, and she has begun making frequent statements to our mutual friends, especially on social media. I recently attended a football game at our alma mater with one of these friends, who snapped a picture of us in the stadium to send to Jenny. Jenny responded, "I'm surprised he let you take a picture of him knowing it would be sent to ME." She's convinced that I don't like her. I have developed a dislike for her, but only because I can't stand the comments; they're embarrassing to me and make her seem needy and needlessly self-deprecating. On one hand, I feel obligated to let her know that her behavior is a huge turnoff, but I'm concerned that doing so would only give her more ammunition. Any thoughts?