Griffiths was left out of the squad for the re-arranged Clydesdale Bank Premier League game at Rugby Park, but Eoin Doyle took over the scoring duties instead with a late double, after Scott Robertson's opener was cancelled out by Lee Ashcroft.
Asked if the win proved his side were not a one-man team, Fenlon said: "That comes from the press to say we are a one-man team. We've got goals from other players in the team as well and I was delighted for Doyle because he worked tremendously hard and got his rewards in the end."
He added: "He put in a hard shift and stuff didn't come off for him probably over most of the game, and then he got two chances and took them well. He had one disallowed as well. I'm delighted for him because he puts in a great shift every time he plays and he's got the rewards at the end of the game tonight."
Asked if Doyle had played his way into his thoughts ahead of the William Hill Scottish Cup final on May 26, Fenlon said: "They are all in my thoughts. That's what I said to them when we qualified, that we've got a few league games left and to make sure they give me a headache for picking a squad.
"We want to finish in seventh and if we win on Saturday we can do that now. So that will be a plus as well."
On Griffiths' reaction to being rested, Fenlon said: "He's grand, he's okay. We gave him the night off, we didn't bring him so we could rest him. He will be back in training on Friday and I'm sure he will be raring to go at the weekend."
Reflecting on the match, Killie boss Kenny Shiels said: "I felt we were the team who were most likely to win the game and we were going for the winner. It looked like we were going to win the game if there was going to be a winner.
"Then, unfortunately, we conceded two late goals and Hibs have gone home happy. Good luck to them but we will certainly not be doing the lottery with the way things are going.
"We have to take it on the chin and move on."