Just to highlight, first and foremost I'm not chasing this woman.

There's a woman I have been talking to, I've known her for about 2-3 years now.

We were supposed to meet up when I first got in contact with her, but she was travelling for like a year or so. We kept in touch here and there during her travels.

Then she came back, I "slid in her DMs" (basically WhatsApp'd her). We met, had a great day-date, kissed and went our ways. After a few days, she let me know that she was talking with someone before she went on a date with me, and he wanted to "give it a go", she lied about some of the details, but I wished her the best and kept it moving. The lies being she was talking to him some time ago, and that was from a particular city, but I knew he was from the city we are both from. I think she just wanted to let me down gently but essentially was saying "this guy's better".

Fast forward a few months down the line for the last year, she intermittently gets in contact, even as recently as last night. I can see her social media and she's one of those people who posts pics with whoever she's dating after a while. So I have noticed that she seems to try to get in touch with me when she's single, lonely & bored again, but I'm not really interested, even to have sex I'm personally not feeling it. But I still keep it respectful in communications.

She keeps asking, when are we going to go on a date again, I keep being vague, and saying it would be nice to see your face, but I'm busy etc etc. She then says something along the lines of "haha, I have been trying to date you for a while".

My question is, should I be outright and tell her I'm not interested, and say it would be cool if you want to link up as friends. Or keep my options open for possible sex even if at the moment I'm not in that mindset with her.

Tldr: Girl keeps trying to hit me up, after she decided to try and date another guy. Should I respectfully tell her to fuck off, or keep my options open.