It was a sixth draw in eight games for the Minstermen as they try to climb away from the relegation zone - and Worthington believes the signs are good.
The Northern Irishman said: "We were very good. We were solid and we competed very well.
"Not many teams come away from Burton with something because they are a strong team. It's a great point away from home.
"Credit to all the players, they stood up to the challenge, competed very well and broke quickly at times.
"We've got to keep working hard, keep believing, keep playing and look forward to Oxford next week in a positive frame of mind.
"It's a team effort and it is about being resilient, being hard to beat, staying that way then getting back to where we were two or three weeks ago scoring twos and threes and fours.
"There's been a lot of draws and we've got to try and change those into wins.
"Our shape is good, the players are very positive and they're carrying out the jobs they're supposed to do. While we're doing that, we won't be far away."
York went ahead in the 64th minute when substitute Michael Coulson's cross skidded in off the head of Burton defender Shane Cansdell-Sherriff.
But Albion were level eight minutes later when Billy Kee latched onto Damien McCrory's ball into the box and rifled a low shot just inside a post from 10 yards out.
Burton boss Gary Rowett was not too hard with his team as their run of three 1-0 league victories came to an end.
He said: "We're not always going to play great and win games.
"We won three on the spin before today, so that's 10 points from four games and we can't to be too unhappy with that.
"I always thought it was going to be a difficult game, and it was never going to be filled with too much quality because of the windy conditions.
"We have to look at the positives - and again we've shown great determination to come from a goal down. But at home you're always looking for a little bit more.
"That perhaps sounds a little bit greedy but we're always looking for the wins that will solidify out position and get us into the top three.
"We're just lacking a little bit at home in terms of scoring the goals we did last season."