Torquay were reduced to 10 men in the 35th minute when Goodwin saw red for a foul on County skipper Michael Flynn and they almost went 2-0 down when Andrew Hughes' 74th minute header came back off the post.
Torquay central defender Aaron Downes' stoppage time header was saved on the goal-line by goalkeeper Ian McLoughlin, sparking a frantic last minute goalmouth scramble but the Gulls could not find a way through.
Hodges said: "The sending off was a game changer. The feeling in the dressing room is one of disappointment because we've had 10 men for a long period and we have had to dig-in deep, which the boys have done.
"We should have come and nicked something right at the end and again we are disappointed because we didn't get the equaliser for the efforts the boys have put in.
"We were also disappointed with the way we have conceded the goal, it was sloppy on our part and we are going to have to work on that again.
"But we will have to take the effort the boys put in and build on that at York on Tuesday night.
"It's frustrating. We wanted to put two wins together to close the gap and it hasn't happened. Now we have to train hard and be ready because we have got two big games coming up next week.
"Every game from now until the end of the season will be colossal for us, we've got eight cup finals and we have to take them one at a time and the next one is York away on Tuesday."
- Sports & Recreation