What do i do?? I want to talk to her but im not sure if what im doing is alright?

I havent talk to her for 3 days it is alright for me to do that?? and i had only talked to her 4 times...... i saw her today at some table with her friends and i just said hi and she said hi back at me with a smile... i mean she always smile when i said hi but thats not he point

anyways the 4 times i had talked to her this had happened

1st day

- she was friendly and blah blah but she was playing with her hair

2nd day

-talked for a few min

3rd

- she smile at me when i approached and i fxck3d up the conversation

4th

- she asked me if i got a gf and i said no for over 4 years.. and i fxck3d up by asking the same question and she said she do have a bf and then i was talking about prom and she mentioned that she went to prom with his bf

after that day i found her the next day busy reading something so i only said hi talked for a min and left because she seemed busy....

and after that day i saw her and i didnt said hi because she was focused on her homework... and today meaning the third day i saw her with her friends i only said hi by waving my hand when i was passing by and she just wave her hand too...

but am i doing good by not talking to her for now?? just like giving her some space for now because i really want to talk to her