As someone who hangs out with a lot of furries, and also only ever gets furries as art customers:
Yes, I understand the discomfort around furries. I can blame people for going out of their way to troll furries, but I can't blame people to want nothing to do with furries.
The furry fandom is by and large filled with people who have massive insecurities. This doesn't count for everyone, but you're more likely to find an emotionally unstable furry than not. It's the ultimate escapism; where people with personal issues create a character with none of those personal issues, and pretend to be said character in an environment where consequences don't exist. It is not for nothing there is such a massive amount (compared to Earth's overall average) of gay, bi, and trans people in the fandom.
Yes, it's also a sex thing. I've seen someone in the comments say "sex positive", but I wouldn't call it that. The furry fandom is a place where a gay or a bisexual person can express their sexuality without persecution, like often happens in places like the United States or Poland, but... It's not really sex positivity, rather it's debauchery. So much debauchery. Which harkens back to escaping into the ideal world without consequences; you can have copious amount of sex and/or sexualise as much as you want without any of the usual responsibilities or consequences that comes with sex.
It is fun to occasionally partake in such debauchery. I'm no prude and I'm not afraid to admit I'm also a bit of a horny guy. So partaking in the occasional kinky, sexy fiction can be fun. Except for a furry it isn't really fiction, which is where a lot of weirdness and unease comes from. And for those who can afford going to conventions or meetups regularly, this level of debauchery occasionally happens in real life... With real life consequences.
A furry lives in a fictional comfort zone where they can pretend to be a character in a world without consequences. But even in exclusively online communities real life tends to catch up with people, so members inside of communities will get pushed outside of this comfort bubble and be reminded about reality. This is the cause for a lot of infamous furry drama.