How can I make people fear a player with a monstrous character?

I am running Curse of Strahd at the moment and one of my players is using a Bugbear, which is causing me some challenge.

The module specifically states:

Barovians thus react to nonhuman characters the same way most humans in the real world would react to elf, dwarf, or half-ore adventurers suddenly walking the streets. Most such outsiders are scorned, feared, or shunned

How can I play this without locking this character out from almost every interaction or town? Specifically there is a fortified town which I can’t see letting in what they clearly see as a monster.

Just trying to persuade every NPC to not be scared sounds like it is going to get boring (and the character has -1 charisma), be that a simple roll or a proper RP interaction. Equally I don’t want to just ignore it, or play simple lip-service to it.