The north London side was forced to withstand heavy pressure from Everton, especially in the first half, with the France international making a particularly notable save from Leon Osman in the opening exchanges.
"It was a slow start again and Hugo kept us in the game," Sherwood told the club's official website. "His save was vital - goalkeepers are vital, goalscorers are vital.
"As much as Ade will get all the plaudits - rightly so, he scored the winning goal - a save like that is just as good as a goal. He's a world-class goalkeeper."
The victory was a huge boost for a Tottenham side looking to overhaul Liverpool in the race for fourth spot and subsequent qualification to the Champions League.
Tottenham sits fifth, just three points adrift of Brendan Rodgers' charges and are now two points clear of Everton.