As an adjective shitey
is (british|vulgar|slang) shitty, worthless.
As a noun shites is
(British, vulgar, slang) Shitty, worthless.
* 2001 , Laura Hird, Born Free
* 2008 , John Richmond, The Birds Call Me Seb
- That's if the combined smell of minging socks, shitey trainers and a thousand farts clinging to the wallpaper doesn't put them off coming in here.
- You know one of those wee shitey dogs that just yaps and yaps.