https://comicbook.com/startrek/2018/04/22/star-trek-discovery-canadian-broadcast-standards/
And before anyone gets started about it being Canada where Disco is in fact broadcast on cable TV, it's still notable given Canada in fact has more lax rules about profanity on TV than the US. Take for example Canadian versions of episodes of The Expanse, which include up to eight F-Bombs per episode, that get edited out of the American broadcasts.
IIRC, the real issue wasn't so much the use of the word Fuck so much as the time the episode aired with such profanity. Indeed, if it had just aired one hour later there would be no issue at all, given that was the same time slot that Trailer Park Boys used to air, a Canadian show which dropped liberal profanity every thirty seconds. Indeed, Trailer Park Boys is a good indication of just how loose the profanity rules are on Canadian television, given eve the daytime reruns of the show leave most of the profanity intact, editing out only the words Fuck and Cock. The show was unable to take off in the US due to American broadcast standards requiring all the profanity to be edited out, which basically makes the show completely unwatchable since it's basically just a long string of bleeps with disjointed dialogue offered here and there.
So, yeah, Disco managed to break the profanity on television rules in a country that really doesn't give much of a shit on the matter. If you're doing that, it's probably a good idea to step back and not bother.
The Canadian channel that broadcasts Disco is based in Toronto, which is where Disco is filmed. I find it very likely they were aware of the trouble the F-Bomb stirred, and therefore I viewed Tilly's line about being requested to stop using profanity to be a reference to that.