Who should initiate the second date?

Her "had a good time" text is not a plan, and it is not a rejection either. It is a thank you with nothing attached. People who are interested often send exactly this, because they are hoping you will be the one to propose the next step and they do not want to look eager. If the message is warm, with a question in it or a comment about something you talked about, she is likely open to a second date. If it is flat and one line, with no question and no reference to anything specific, the signal is weaker and you should look at the rest of the evening before committing to a plan.

Check whether she made any forward moves during the date itself. Did she mention something she wants to do, or ask about your week ahead? Did she suggest a place you could return to? Those details tell you more than the text does. If she was engaged in person and the message is just a polite thank you, she probably wants to see you again but does not know whether you want to. A clear ask answers that question for her.

A second date ask works best when it is small, specific, and easy to answer yes to. Name a day window, a type of activity, and a place or a rough area if you can. Keep the reference to the first date light. One specific callback works better than a summary of how the night went, because it shows you were paying attention without making her respond to your emotions.

The ask should be something she can say yes or no to in a few seconds. Avoid open questions about what she wants to do next, since they hand back the work of planning. If you have a favorite place or a plan you have been thinking about, offer it. If you do not, offer two options and let her pick, which is still a clear ask. Leave out apologies, hedges, and explanations for why it took you a day to reply, since those make the ask sound like an afterthought.

Timing matters more than most people think. A message sent the next day, in the late morning or early afternoon, reads as confident and unhurried. A message sent late at night reads as either impulsive or like you were waiting for the right moment to strike, which can make it feel heavier. If the first date ended on a good note, reply the next day rather than three days later, because a long gap lets her decide you have lost interest.

If you do not hear back within a day or two after your ask, send one short, friendly follow-up that does not repeat the ask word for word. Something that signals you are still interested and keeps the door open is enough. Do not send three messages in a row, and do not change the plan to pressure a reply. If there is still silence after one follow-up, take it as her answer and let it go. Staying cheerful about it, rather than sending a sad or passive-aggressive message, keeps the door open in case she comes back later.