I have gotten a sinus infection once from sniffing some damn good shit as far as coke goes, it just smelled super good, tasted super good, and it was just some grade A, really powerful shit, had me super lit and I know my coke from that bad shit to excellent! I live in a place with some of, if not the best coke in the US so I have had some of the best shit a person can get over the years. But after sniffing this particular batch for like 2-3 days in a row, just bingeing out, my nose started to bleed and get all scabby in my one of my nostrils. It fucking sucked. It stung so bad and burned like it was on fire for days! After that terrible experience, I stopped sniffing coke as much and stuck with smoking hard and if I ever had soft I slammed it! I know, not a very good trade off I will admit, but none of the ROAs with coke are good for you, I mean maybe plugging? but never bothered trying it that way. I haven't had a sinus infection since I stopped sniffing it. Now if I ever get soft, it is going to get slammed or rocked up, that is the only way I will do powder anymore since picking up the needle/pipe a while back, however I am in no way recommending any one do these things as they can make you get a lot more out of control and become a more compulsive user due to the short duration and way stronger rush of IV coke and smoked crack vs. insufflated coke. Just saying ever since I got a sinus infection from coke I try not to sniff it anymore and just do it other ways.
So OP it was probably just some kind of cut(most likely) that burned you or maybe had a high concentration of ether, acetone, or some other strong chemical in the batch you had... I have had shit like that with a VERY strong chemical taste and smell that burned a bit more that the average stuff. If you ever get shit that burns your nose like that again be careful. sinus infections really suck!!!