While i don't disagree with all that mentioned above, the only point i am making is that CIC is not likely to delay specifically muslim applicants because of above.
I am a practicing muslim with a big beard (if that helps), came here on a specialized skill work permit, and i think i got my PR in 3.5 months via CEC. Yes that is not recent, but i know of others who have had recent cases.
Several other muslim friends and colleagues got their PRs in the last few months as well.
On more recent discussions, i go to US often. My wife went to US and came back after Trump's order (even when she went to another major muslim country UAE/Pakistan from US), came back and then came to Canada and thankfully had no issues.
The entire point here is that CIC is not likely to significantly change their process because of recent events. When they delay things it can be for a whole lot of reasons, most of which would be individual to the applicant.
That being said, some of the record holders here (among the longest processing times), are white, non muslims from first world countries.
If anything, Canada is arguably the least racist country.
Good luck with your application. I hope it gets through soon and you hopefully would feel better once there.