will she think that im REALLY rude when she tried to make things right between us

There is this friend who I got separated from 6 months ago for educational reasons . I came back this week . We kinda had a grudge between us. She thought I hated her and I thought she hated me . Now I'm sure she doesn't but I did think that before. I haven't talked to her in six months . Today she wad waiting for her friend after school outside and I walked past her . She said to me " see you later " and I looked at her and give her a REALLY small smile. But I didn't respond. I walked right past her and just looked at her with a small smile and then she walked off with her friend . Because we hadn't talked to each other for a really long time because we thought the other person hated us , she said to me see you later , normally she walks past me and doesn't say anything but today shedid . I was wondering will she think that she tried to make things right and better between us friends but. I didn't respond so I'm rude etc, ps I smiled at her like a really small smile and looked at her .

Thanks for the PS, that part wasn't clear the first couple of times you said it.

Just say hi the next time you see her, simple really.

lol you again, you always overthink things
Say hi next time, it's not the end of the world

yeah but she I see her she's always busy so she doesn't have time to talk and when I see her it is every Monday like isee her when sh walks past but she's always busy when I see her so how am I supposed to say hi ?? And plus she will think that I'm rude as before she thought I hated her so she said it to sort tgingsout and I ignored her so she will think that won't she

Just say hi again. Don't overthink it.