It's likely that the Transfer Certificate (TC) from the Trichy university will suffice as proof of your gap period and not require a separate gap certificate for fee reimbursement in AP EAMCET. This is because the TC demonstrates your prior enrollment and the reason for withdrawal (health issues).

a gap certificate is needed when students have taken a break from regular education and want to continue their education, and that the TC from Trichy university should be enough for this purpose.

A TC from a recognized university, especially one mentioning the reason for withdrawal (health issues in this case), serves as a legitimate document to explain the break in your academic journey.

Gap Certificate's purpose:

Gap certificates are typically used to explain a break in education when students are applying to a new university or institution. They usually state the reason for the break and confirm that the student was not studying elsewhere during that period.

Your situation:

In your case, the TC from Trichy university provides the necessary documentation. It clearly shows that you were enrolled at an educational institution and why you had to leave. Therefore, you are not likely to need a separate gap certificate for fee reimbursement purposes.

Check with authorities:

It is always advisable to confirm with the authorities at the AP EAMCET or the relevant fee reimbursement office to ensure that the TC is sufficient.

The Institutions want to ensure that your break was for a valid reason and not due to academic failure or disciplinary issues.