"It's probably a missed opportunity but also a hard-earned point," said Pearson. "We've played better than that in our last two games, we worked exceptionally hard out of possession but we've got to be better in possession.
But Mourinho told BT Sport afterwards: "I think we deserved to win this match. To lose would have been too harsh on the boys."
Watford goalkeeper Ben Foster saved from Lucas Moura before half-time to thwart Spurs, who have now gone four league games without a win.
Bournemouth boss Eddie Howe speaking to Match of the Day: "Tough game, we battled and stuck to the game in the first half. It wasn't a great performance from either team before half-time but the goal sucked the life out of us and gave them a boost.
"We are so happy to have Nigel Pearson come in," Doucoure told BT Sport after scoring on his 27th birthday.
"Everyone is pushing together, we are so proud of how we played.
"We deserved to win, we have had a fantastic week and we want to carry on and get out of the relegation zone.
Sheffield United boss Chris Wilder, speaking to BBC Sport: "We got our first penalty of the season, which is good - and we stuck it away successfully, which I am delighted about. It was not really one of our better performances but you have to give Nigel Person and his players credit.
Watford interim manager Hayden Mullins said: "It was a hard-earned point and if there was one team that deserved to win it in the second half, it was probably us. I'm happy with the energy levels and the commitment.
Leicester boss Brendan Rodgers, speaking to Match of the Day: "It was a tough game for us. Hayden Mullins had Watford very well organised. We had to be patient this evening and worked very hard for that but I thought we deserved it.
Watford manager Quique Sanchez Flores said he "suffers" for the fans, players and owner after defeat at fellow strugglers Southampton.
The Saints came from behind to win with late goals from Danny Ings and James Ward-Prowse, easing the pressure on their own boss Ralph Hasenhüttl and leaving the Hornets bottom of the Premier League.