Dear candidate....... hope you're doing good..

Well, basing upon your rank in AEEE , yes you may have the chance to get ECE at Amrita university, Coimbatore in the upcoming counseling rounds. But still EEE is also a very good branch in engineering, so you must wait for the upcoming rounds to get your desired branch and since you're a resident of Tamil Nadu, you have higher chances of getting your desired branch.

Hope this helps you out.....

All the best !!