Jesus" argued from the lesser to the greater again. A person is much more important than an animal (cf. Luke 14:5). The Jews regarded women as less important then men. Jesus viewed her as a daughter of Abraham, a very exalted title that described a female descendant of the revered patriarch. Perhaps the Jews had denied this woman this title concluding that her affliction was due to some great sin that she had committed (cf. Luke 13:2-5). Jesus freed her from her alien master who had bound her for18 long years. Jesus" compassion refused to allow her to suffer one more day. Since the Sabbath was a day of worship and rejoicing, it was appropriate that Jesus healed her then. [source][source][source]
"As a result of Jesus" command, the fever "released her." While the verb apheken ("released") is shared with the parallel accounts, in Luke it is placed in a context where it has the full force of release from an oppressive confinement and illustrates the "release (aphesin) for captives" of which Jesus spoke in Luke 4:18." [1][source]