SATAN BINDS (Lk. 13:16), Commentary:

[Whom Satan hath bound] Satan is the name given to the prince or leader of evil spirits, called also the devil, Beelzebub, and the old serpent, (Matt 12:24; Rev 12:9; 20:2). His "binding" here; he had inflicted this disease upon her seduces or he wounds or strikes to disable as Satan did this woman.  

In the day of Jesus Christ, the Jewish leaders understood only the natural past of binding or loosing and He was showing them through the encounter with the woman bound by infirmity that binding and loosing had a supernatural side. Notice that Jesus said specifically that it was Satan who bound the woman.

It is a fact that the Jewish leaders were furious with Jesus for telling His disciples that they had the authority to bind and loose were not part of the prescribed Jewish religious/political system. They felt that He was giving them authority that He had no right to give. They did not understand that He was giving them authority in the unseen real in Heavenly places. This realm where the binding and losing occur and from which all things on the earth can be bound or loosed - disallowed or allowed.