The 22-year-old was named PFA Young Player of the Season last term, but has not been as consistent this year.
On Saturday the right-back dithered in injury time, allowing Juan Mata to steal the ball and play in Daniel Sturridge for Chelsea's final goal - although Walker claimed the Spaniard fouled him.
The England defender often looked vulnerable against Mata, and his cohorts Oscar and Eden Hazard, and was criticised by fans at the stadium and on Twitter as a result.
After the game he posted two angry tweets before deleting his account @kyle28walker, which had over a quarter of a million followers.
They read: "Would love to know what I'm doing so different I give 100% every game and still u (have) something to say I'm 22 and learning #embarrassing.
"If I said what I thought to these people I would get done humans make mistakes it was 90mins and I though(t it was) a foul end off (sic)!!!!"
One player who was in a much happier mood after the game was Chelsea left-back Ashley Cole, who was booed throughout the clash in north London.
The former Woolwich player ended a turbulent week on a high as he helped his team stretch their unbeaten Premier League run to eight games.
This week Cole received a record £90,000 fine for labelling the Football Association a "bunch of t**ts" in the wake of claims the left-back did not tell the truth at the John Terry race abuse inquiry.
The 31-year-old, who is often the brunt of abuse from opposing fans, made sure had the last laugh against those who heckled him on Satuday, posting: "Why all you spud (Spurs) fans coming for me now, little to (sic) late aint it, I didn't know hell was silent!!!!! #CANTWAITTOGOBACK
"Big result for us today, great win once again thanks #cfc fans never gave up believing in us."
