You may be eligible to obtain a change of given name with Immigration, Refugees and Citizenship Canada (IRCC) under the Exceptions to change of name requirements.
Since it can be difficult for you to obtain services under the new name or gender that appears on your permanent resident card without an official document to link the previous and new names or gender identifiers, IRCC is offering you the option of obtaining a VOS to serve that purpose.
https://www.canada.ca/en/immigration-refugees-citizenship/corporate/publications-manuals/operational-bulletins-manuals/identity-management/exceptions/verification.html