Sherin0621,
I did my medicals on February 26th, and got my passport request on the 28th of April. So looking at this timeline it took about over two months. Again it's a case by case situation so I wouldn't know how fast your visa office is but since you are done with medicals and if you are under the Fast Tracking system, you should be able to get your passport request much sooner than the applicants who have applied under the old rules.
I hope you get it soon
@ Everyone else, thank you for the warm wishes. God help us all.