The Finnish keeper fell victim to one of the errors of the season, as he let a throw-in by team-mate Olof Mellberg brush his studs and dribble into the net.
What made the error worse was that it came in the local derby with Birmingham, and Taylor feels Enckelman cannot hide from the criticism.
Speaking after the 3-0 defeat, Taylor said: "This is a huge test of his character.
"There's not a lot you can say to a player after that. He's sat there and he's very, very low.
"Now, a rule I have taken for many years is that you allow yourself 24 hours to either sulk and be miserable or 24 hours to be happy. Then you've got to get on with it.
"This must apply to Peter Enckelman in particular. That is going to live with him and he's going to be reminded of it in this city. Now he's got to show a great force of character and just get on with his game."
Reflecting on the bizarre incident, Taylor added: "I`m not going to talk about anger regarding that goal, it`s more a case of being incredulous.
"I`ve never seen anything like it."
Enckelman reacted as though it had brushed his boot, but Taylor feels he did not know the rules - which state the ball must be touched by a player for a goal to count.
"The lad was not aware of the laws of the game," said Taylor. "He is now, but he felt that once it had gone into the net it was a goal, even if he hadn't touched it.
"His reaction gave the impression he had touched it, but he's an honest lad and he says he doesn't know.
"He thought he had just missed it and says if he did get a touch, it must have been the faintest of touches.""
