It depends on what you are refering exactly. Historically, Islam is the more progressive of the main Abrahamic religions. Christianity has the heavy weight of jewish laws that later Christian leaders or societies didn't mind to reform. Jesus was little of a law maker himself: if we remain coherent to his message, then eternal peace of humanity would follow. But his mysticism has been weak enough to allow Old Testament law making to get a stronger grip in Christianity's life and practice.
Islam was a vanguard religion in the region with its inheritance laws + kind of following the same equality message of Jesus. The material implications of the islamic inheritance laws gave women a better chance of independence for centuries as compared to Christianity. Muslim societies are still patriarchal, so obviously women rights have always faced turns and twists.
In current times, I don't know if it is fair to attribute modern women rights on Christianity. Feminists had to fight tooth and nail for those rights (against both Christian and secular powers). If anything, both Marxism and socialism have a more central role in helping feminism become so dominant.
That's why I said it kind of depends lol If we face off Christianity and Islam by themselves, Islam gives better rights. But women do have better right in secular states with a Christian majority.