McGlynn was furious at Ryan Stevenson being shown a straight red by referee Willie Collum for a challenge on Gary Mackay-Steven, a decision that left Hearts with an uphill battle.
"The sending off killed the game, and it was probably a very good game for 25 minutes or so," McGlynn said.
"The few people I have spoken to who have seen it on TV think it was harsh. We will have a look at it once we get some video coverage but it didn't help us today.
"According to Ryan, the lad [Collum] says that he never touched him but that is the rulebook and he has to go with the rulebook.
"The players feel if you go into a tackle when you are on the ground you can hardly go with your studs on the ground.
"It is hard enough losing a player for an experienced side to cope with but we're not an experienced team.
"We had a lot of young players out there today so it was hard going. We gave ourselves a chance through Michael Ngoo's goal late on but I can't fault the players too much for their effort."