"...Should I just visit her office and tell her like"I sent an email for research experience and haven't received a reply from you, so I just came here to talk"?..."
I hope you've now been in communication with her. I would in general recommend trying to stop by the professor's office, just in case the email ended up in a Spam folder. Or just got lost - I'm sure some professors are more organized than others. :-) When I found an advisor I did drop by offices. And of course, try and see if they look busy, and if so see if there might be a better time to chat. Best of luck!