Eh, there'll always be negative reactions to everything different, if you go looking for them.

To be quite honest, I'd say anime is actually becoming much more widely accepted these days.  Society has undergone rapid change, thanks to the internet, and this will likely continue.  This basically includes people being more exposed to different cultures and opinions.  People may use 'weird' as a reason to discount things they're not used to, but that will change with increasing globalisation.
Stuff in some anime can take a while to get used to if all you've ever been exposed to is western content, so it can take time.