I 27M recently matched with an older 38F over one of the apps (basically a hook-up app) we started talking and she found me to be mature enough for my age. we didn't get to talk much then but it was enough to get pleasantries out of the way, but post that we are struggling to hold a conversation between us as she is super busy and reply late to the messages. I definitely thing she is interested in me as she sometimes initiates the conversation and send me her pics (not nudes), but due to the busy schedule we cant get to know each other. I asked her is it would be possible to meet and get to know each other and she was said she would prefer that but , the day I suggested was not possible and I haven't followed up on it but might try asking again after a while in order to not to seem desperate.

Now that we don't have the date scheduled and its tough to hold the conversations I don't know what should I do next. Even if I send her a message I know she will reply me late and we wont have a proper conversation.

I need some advice on what I should do next, despite meeting over a hook-up app I want to get to know her as she seems super sweet and cute and not in it just for of having sex with older woman , plus I am a virgin and bever dated anyone else before.