An odd sentence

For example, the daughter of a wealthy Boston family, Eleanor Sears, was a magnificent athlete, but skirts always hindered her attempts to play polo. Annoyed by a tradition that required women to wear skirts even on the athletic field, Sears decided to challenge it in 1909. Wearing trousers and a jacket, she appeared at the Burlingame Country Club and asked to play polo with one of the teams.
[Source: Reading for Results Ninth Edition by Laraine Flemming]
I think the underlined clause is odd and that it should be corrected to make sense, such as the following.
"(She) asked players to allow her to join their team and play polo."
I'd like to know what you think about my thought.
Thank you in advance for your help.