The Ruling on drying the Limbs after Wudhu'

Question :

Is it permissible to dry the limbs after making Wudhu"?

Answer:

Yes, it is permissible for a person to dry his limbs after making Wudhu', and likewise, if he makes Ghusl, it is allowed for him to dry his limbs. This is because the basic principle is permissibility in matters other than acts of worship, unless there is any evidence of its prohibition.

As for the Hadith of Maimunah, may Allah be pleased with her, which states that she brought a towel to the Messenger of Allah after he had performed Ghusl, and that he rejected it, brushing off the water with his hands instead; his rejection of the towel does not indicate his dislike of it. Because this is a specific matter; it is possible that the towel had something on it which the Prophet did not like, because of which, he did not want to dry himself with it, and that therefore, he brushed the water off his body with his hands. And it might be said that Maimunah's bringing him a towel is a proof that they considered it permissible and something common; if it had not been so, there would have been no call for her to bring him a towel. The most important thing is to know the rule, which is that the basic principle in all matters other than those pertaining to worship is permissibility, unless there is some evidence to indicate its prohibition.

Source:
Ibn 'Uthaimin
Fatawa Islamiyah, Vol. 2 Pages 80-81