If I replied back with a meme and she read it but didn't reply. I didnt ask anything, just said I'm going to work and sent an exhausted from work meme?

I'm trying to get this person on a date and texting mostly logistics. I have the feeling she may be shy or have anxiety as she agrees but then says she busy doing studies. I made a mistake too asking her to "let me know when she's free". I think this made it a bit dead end for me because I doubt she'll give a date and time. I still think I have a shot with this girl but maybe I'll not text for a couple of days and then try again with a different approach. What do you guys think?