Summarized:
Women were strong competitors. Men frequently watch other men compete, so it is not surprising that women attended cycling races. Some people thought that it was “disgusting and degrading” for women cyclists to compete. Women worked to break each other’s records in cycling. /A New York Times reporter attended and reported on Jane Yatman’s performance. Irene Brush rode 200 miles in 22 hours.
You probably don't have to include that last part. But hope this helps!
Good luck!