How do I prove to a girl that I like her?

When she says she is busy but would be "down eventually," she is telling you two things at once. She is interested enough to keep the door open, and she is not ready to commit to a time. That is a yes with a soft no attached, and the right move is to respect both halves. If you push for a specific night, you ask her to either lie or let you down.

Look at how much she gives back in return. Does she ask you questions? Does she remember details from earlier in the week? Does she send longer messages when she is interested and one-word ones when she is not? Those patterns tell you more about her interest than any single line. If the answers are mostly short and she never opens new topics, the proof you need is that you can keep the conversation easy and light until she has space to show more.

A message that refers to something specific she told you, like the coffee place or her weekend running, shows attention without asking for anything. It proves you were listening, and it gives her an easy thing to reply to. Its job is to keep warmth going, so it should be short, have one topic, and avoid any question about meeting.

A message that makes a clear plan does different work. It turns a vague interest into a real option, but only if it stays low pressure. Its job is to make the next step concrete. It should name an activity and a loose window, and it should be easy to decline without awkwardness. Leave out apologies, justifications, and double-checks like "no pressure though." Those words make the ask feel heavier than it is.

A third kind is a light callback to a moment you shared, like a joke from earlier in the chat. Its job is to show you remember the vibe, not just the facts. It should be playful and brief, and it should not turn into a second ask.

After you send something real, give her a normal amount of time to reply. A few hours is fine, and by the next day is also fine if she is busy. You do not need to send a follow-up the moment the message is read. If the message is opened and left unanswered for a day, it is reasonable to send one more light message that is not a question about meeting, like a photo, a link, or a comment on something she mentioned.

If she still does not reply after that, stop. Two unanswered messages in a row is a clear signal, and sending a third one reads as pressure. If she comes back later, pick up where things were without making her explain the gap. If she never does, the interest was not mutual enough to chase, and you have lost nothing by being easy about it.