Adebayor was making his first start of the season and scored his first goal since May after a rumoured fallout with Villas-Boas.
Sherwood said: "He's not got a point to prove to the fans. You could see the way they reacted to him.
"If he shows that effort and drive, which he did tonight, and a real desire to want to play, I've got no hesitation to have him around the team."
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