Two readings, two different words. This is shòulèi, where 累 means tired: someone has gone to trouble on your behalf. Read shòulěi, with 累 meaning to implicate, it is a separate word about being dragged into someone else's trouble.
register
Works on its own as a polite formula: 您受累, roughly "sorry to trouble you, thanks for the effort". Heard from cab drivers, delivery workers, and hosts asking a guest for a small favor. Very Beijing flavored.