The Royals boss is pleased with the display of his third-choice goalkeeper and is hoping for a repeat performance in the relegation six-pointer against Aston Villa
An ankle injury to first-choice keeper Adam Federici allowed the experienced keeper to make his first Premier League appearance since 2008, and the Reading manager believes Taylor made the most of the opportunity.
"There was nothing he could do about the goals [at Everton] and he pulled off some good saves. I thought he was very good," McDermott told the club’s official website.
"He's a really great character, Stuart Taylor. It's not easy when you haven't played for a long time but like all of my players - his attitude is spot on."
Taylor is likely to face former club Aston Villa at the Madejski Stadium on Saturday, and McDermott insists his team must be steadfast in their approach as they face fellow relegation rivals in what has been billed a six-pointer.
"Everyone in the media will say it's a six-pointer but I can't work like that. It's a game of football and we've got to try and win that game of football," he added.
"It's not as if we're not going to try less harder against Man United but harder against Villa.
"In this league we're up against players that are worth millions and millions of pounds so we have to do things a different way. We did it a different way last season and we'll do it a different way this season.
“Last season we were written off and we'll probably be written off again - we might just do it."