Spurs looked dead and buried against Dnipro at 2-0 down on aggregate, but they hauled themselves back from the brink to win 3-2.
But Adebayor, who could have taken all the praise for his match winning performance, decided to pay tribute to Sherwood.
Adebayor said: "I want to say a big thank you to Tim, for the new gaffer, who came in and gave me my confidence back, gave me the stage to play on.
"Everything is going onwards for him, for me, for the club, we just have to keep focused and keep going till the end of the season.
"We knew it was going to be very difficult, even before the game, because they had an advantage, winning at their place in Ukraine 1-0.
"We just kept our focus very well and when [Christian] Eriksen scored that good free kick, that put us on the way.
"I managed get two goals, I'm very happy for the team. The most important thing is that we went through today. We went through and I'm very happy.
"There is a lot of things that went wrong in my family.
"Today I'm very glad to be on the pitch, scoring goals for my team. I just have to keep focused keep going, keep playing well."
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