tara______ Um, whether you get F or T entirely depends on what self-identification you put in the affidavit.
Here is the affidavit format for F:
https://transgenderindia.com/talk/d/14042-new-affidavit-format-for-revised-td-certificate-id/4
The gazette method has a ton of extra steps, such as publishing a newspaper advertisement or visiting the DM in person. The Transgender ID is much more lightweight by comparison, all you need is a letter from a doctor and an affidavit, and the whole process is online end-to-end.
PS: Since you are in a hurry, you can also apply for both at the same time and you can use whichever one goes through first.