The Baggies manager was disappointed with his side conceding just three minutes from the end and faces potential injury concerns over Chris Brunt and Jonas Olsson
Victor Anichebe scored for the only goal of the game for the Toffees just three minutes from time to move above the hosts in the Premier League table.
Hodgson was frustrated with giving away such a late goal but denied that the busy festive schedule played any part in his team’s defeat.
“I don’t think [the busy schedule has caught up with us]. No more for us than the other teams,” he said. “It was a 0-0 game where both teams defended quite well I thought, nullified each other somewhat, but it wasn’t a 0-0 game that’s the problem, it was a 0-1 game.
“I think 0-1 games, especially when the goal for them comes so late in the game as it did against Stoke, they are the hardest result to accept, hardest results to come to terms with.”
The manager was disappointed that his side could not continue its good recent form which has seen them claim victories at Blackburn Rovers and Newcastle United and a well-earned point against Manchester City on Boxing Day.
“I’m very disappointed that we couldn’t continue what has been quite a good run in the last three games," he added. “We’ve given three fairly big points to our rivals who must be feeling very grateful we gifted them the goal three minutes from the end.
“I don’t think we created that many chances, I don’t think it was anywhere near as good a performance attacking wise as we’ve had.”
West Brom failed to register a single shot on target and Hodgson conceded that his strikers struggled against a solid Everton defence.
“Shane Long of course is struggling with a back injury, having injections to get him on the field," he said. "I don’t think he was 100% but we needed him on the field. Peter [Odemwingie] couldn’t have anything like the effect he’s had on the game before. I thought it was a fairly quiet afternoon for the Everton back four.”
Chris Brunt limped off at the end of the game and could face a spell on the sidelines.
“I don’t know [how long he will be out for]," Hodgson added. "It’s a strange injury because he didn’t know what had happened to him. He felt a sharp pain in his standing leg when he tried to hook the ball clear."
Regarding Jonas Olsson's injury which kept him out of the game, Hodgson said: “He’ll be out for a while, he’s got a calf strain.”
Hodgson also conceded that if West Brom is going to push on this season it may need to enter the transfer market, but made it clear he will only spend if it will improve the team.
“I think if we are going to have a good season we need some help like all other managers but [I don’t know] whether the players are out there to help us," he added.
“I’d like to think we’ve got to the stage at least where the type of players that would help us would cost money and would demand high wages. I’m not certain at the moment that is the way we’re looking to go forward.
“I’m not interested in just bringing in extra bodies or extra names into the club if I can’t be absolutely assured they’re going to be better than what we’ve got.”
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