Well, for one, women didn't really want the right to vote (at least not all -- anti-suffragettes were not in favor). One of the major reasons that they did not want the right to vote is that it could bring them into conscription or other war-related activities (which anti-suffragettes were not particularly fond of). Domestic life also seemed more amiable for a lot of women, who were not particularly interested in the state of politics.
As for general anti-arguments, you have the fact that many people did not believe that women would be as knowledgeable on voting/politics as men (also why rich and high-class women were given the right to vote before those who were of a poorer class).
What do you mean I can help but the question isn't very clear
Historians use evidence from primary and secondary sources and oral histories to answer their questions. They have to choose what information is most important and trustworthy as evidence. Historical evidence is not always simple. Sometimes what historians thought to be true turns out to be false.