The Swans were guilty of giving away two sloppy goals in a first half dominated by the physicality and high pressing of the hosts.
But despite the sending off of Andy Carroll - the hosts' biggest attacking threat - on the hour mark Swansea were unable to register one shot on target despite enjoying 65 per cent of possession.
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“It’s on the TV. We lost again. We lost too many games, too many goals conceded. We conceded two rubbish goals and didn’t give ourselves a chance. It does my head in. I’m as frustrated as anyone because we’re all responsible.
“It’s the time to look at the table. But it’s not nice viewing for us. It’s the first time it’s been like that since I’ve been at Swansea.
“We had the early kick-off so we have to check all the other results to see where we are after the weekend, which isn’t a nice position to be in.”
Carroll was Swansea’s chief tormentor throughout the match until his controversial sending off in the 58th minute after a clash with Chico Flores.
Williams admits the former Newcastle striker was unstoppable at times but remains unconvinced his physical talents will be enough to earn him a place in Roy Hodgson's England squad for the World Cup.
“I don’t think he’s so much above everyone else. I think he’s as good as the best. Very good.
“But he’s actually head and shoulders above everyone physically. Sometimes if the ball is high enough he’s going to win it. There’s not much you can do.
“I’ve never seen a player who can jump out of the sky. You stand next to him and he’s that big.
“[But] is that enough to get you to a World Cup? I’m not sure it is.”