Hello,
yes you can apply for Anna University. you are with in the opening marks and closing marks. you can go for any branch you like.

for example marks range:-

for cse:- 77-200

for EEE:- 77-199

for ECE:- 77-200

to know more about the marks range for different branches then visit the site:-

https://engineering.careers360.com/articles/tnea-cutoff

Good Luck!