While the swiss men did vote for it in 1971 and allowed women to vote on a federal basis, the men in the canton (state) of "Appenzell Innerrhoden" voted against it until 1990. Then the federal court stepped in and forced them to allow women to vote, too. "Appenzell Innerrhoden" has about 16 000 citizens.
Switzerland is small but diverse. The states have significant freedom in making their laws. This usually works well, but sometimes leads to situations like this.