Needless to say, it has been quite a while since I read anything in the "new testament," but I don't recall women's suffrage being a big topic. As a matter of fact, I don't recall anything about suffrage (or "democracy") at all.
Luke 4:18 The Spirit of the Lord is upon me,
because he hath anointed me to preach the gospel to the poor;
he hath sent me to heal the brokenhearted, to preach deliverance to the captives,
and recovering of sight to the blind, to set at liberty them that are bruised,
2 Corinthians 3:17 Now the Lord is that Spirit:
and where the Spirit of the Lord is, there is liberty.