City opened to scoring through James McAtee before United responded with an equaliser from the penatly spot through Ethan Goldraith.
Despite dominating through the first half, Adrian Bernabe's red card 35 minutes in was followed by a second United goal from Facundo Pellistri, making City's second half task an extremely tough one.
In spite of the setback, City responded superbly, and were back level in the second half through Taylor Harwood-Bellis.
After the game, captain Doyle was full of praise for his teammates.
"It's a good point in the end," he reflected. "Maybe we could have won with the chances we had but it's difficult going down to ten men.
"I thought the lads showed great passion and desire to run and work hard."
Whilst pleased with the point, the EDS skipper believes City could have and maybe should have taken all three points despite being one man down.
"With 11 men, I think we win the game, but what faced us with the 10 men was obviously tough," he added.
"At half-time, we spoke of a plan and I think we executed it well.
"We had a few chances from set-pieces and one at the end with Morgan so really were unfortunate not to come away with the win."
Doyle also stated that like him, the rest of his teammates were pleased with the result after the first half setback.
"Everyone is very happy," he continued. "These are games you never want to lose and we didn't make it easy going down to 10 men. It's always tough when that happens.
"Obviously, with how the game panned out, I think we did well and probably could have won."
The draw means we return to the back of the Premier League 2 table but Doyle is staying firmly grounded ahead of the second half of the season.
"I think we have just got to keep pushing ourselves," he said. "We don't want to draw, we don't want to lose - we want to win.
"We are at a Club where we should be winning and we've got the players who want to win.
"Hopefully, we can take that into the West Ham game and get a win to go into the winter break top of the table."