Werner led the line for the Blues but was unable to open his account for the west Londoners, mainly because he didn't have many opportunities in front of goal.
The Germany international, like many Chelsea fans, was bitterly disappointed with the result and shared his frustration on Instagram a few hours after the match.
"We never give up, Chelsea!" Werner wrote alongside a picture of himself from the match. "Absolutely unhappy with our performance but great fighting spirit."
Werner's sentiment was echoed by teammate Mason Mount, who said: "We know we can be better, but we dug in and showed character to get back in the game!"