The 22-year old and a friend were also charged with act of indecency, and aggravated indecent assault – offender in company.
Musgrove visited Maroubra Police Station during the week and has been granted conditional bail to appear at Waverley Local Court on January 23.
The Wests Tigers released a statement on the issue on their club website.
“The club has alerted the NRL Integrity Unit of the matter.
“Wests Tigers takes its position in the community very seriously and will work with the NRL Integrity Unit and NSW Police on the allegations.
“The club will make no further comment on the matter until the investigation is complete.”