in a very difficult situation

the board is supporting the beleaguered director amid calls for his resignation

(of a place) surrounded by armed forces aiming to capture it or force surrender; besieged

he led a relief force to the aid of the beleaguered city

cause problems or difficulties for

he attempts to answer several questions that beleaguer the industry

lay siege to (a place); besiege

our leaders decided to beleaguer the city