What to say when she says sure sounds fun but I'm booked

The useful detail here is what she left out. She said sure, which is warm, and sounds fun, which is a compliment to the plan, but she did not propose a day, a week, or even a rough window. People who want to meet usually fill that gap themselves, even if they're busy. When someone skips it, the most likely reading is that she isn't sure yet, or she's not thinking about the logistics this week.

Read the "another time" phrasing, if she includes it, as an opening rather than a deal. It tells you she's not closing the door. It does not tell you she's expecting you to bring it back up soon. Her energy in the message, whether it's warm with an exclamation mark or flat and clipped, matters more than the literal words. A warm, friendly tone with no specifics means she's open but unscheduled. A brief, neutral tone means the interest is lower and you should match it.

Your reply's main job is to receive her message gracefully and make it easy to continue later. Acknowledge that the timing isn't working without making it sound like a big deal. Keep the tone light and matched to hers. You can show you're still interested by referencing something specific from the conversation, which signals this isn't a generic follow-up.

The second job is to hand the next move back to her without making her responsible for the plan. Leaving a loose, low-pressure option for later does this. Avoid anything that requires her to answer with a date or a time right now. Also avoid anything that reads as a test of whether she meant it. Keep your reply short enough that she doesn't feel she has to respond at length.

After a reply like this, your timing does most of the work. Send your response the same day or the next morning, not at 2am and not after a long gap. A quick, relaxed reply shows you're not stressed by her being busy. Leaving two or three days before any further contact gives her room to come back on her own, and it avoids the feeling that you're chasing.

If you hear nothing after that, one light, low-effort check-in is reasonable, something that asks about her week or references something she mentioned, with no pressure to meet. If she still doesn't engage, stop there. Two unanswered messages after a soft maybe is a clear enough signal, and sending more turns a pleasant match into an awkward one. Closing the thread gracefully is also a good outcome.