Towards the end, there is this paragraph:
Teamsters [here meaning the drivers of horse-drawn wagons, the the-equivalent of trucks] make most of our trouble. The manner In which heavy trucks and freight wagons of all kinds swarm to the Boulevard in the morning hours, when there are thousands of cyclists, four out of five of whom are ladies, is most exasperating. On Sunday, when the asphalt is covered with wheel riders, what satisfaction can there be in driving a carriage or buggy into their midst? It looks like sheer contrariness. The hostility shown by many truck and wagon drivers against cyclists is of that mean nature that is found in envy of those who seem to be getting some pleasure out of life.
While the "four out of five" is not a scientific survey, it suggests many women in 1896 were commuting to work by bicycle, since it is doubtful they were out on weekday mornings for some other reason.
This 1899 film of employees leaving a Parke Davis factory in Detroit suggests also that women were bicycle commuters in those pre-automobile days. Presumably most of the manufacturing employees were men and the women in this video (given their attire) were the clerical staff? So their percentage of the total number of commuters is likely relative to their percentage of the number of workers there overall.