A mat placed outside and exterior door for wiping the shoes before entering.
Synonyms:welcome mat.
2.
(figurative) A person who is habitually abused, taken advantage of or humiliated; sometimes, one who is physically weak; as, they used him for a doormat.
... whirling off in a limousine, "all dolled up" as his academic English put it, that girl wasn't going to be back in five minutes. And anyway he'd be blessed if he lay around in the way any longer like a doormat with "Welcome" inscribed upon ... — The Palace of Darkened Windows • Mary Hastings Bradley