bedraggled

The verbs draggle and bedraggle mean to soil something, such as a piece of clothing, by dragging it over damp ground or in mud. The adjective bedraggled is quite specific—it means dirty and limp due to having been dragged in this way. The words soiled and sullied are often used to mean the same thing.

A word specific to being made dirty by mud is muddied. A more general word is dirtied. A milder and even less specific term is untidy.

Something, such as a reputation, could be described as bedraggled in a figurative sense to mean that it has been besmirched or tarnished.