Does the General Data Protection Regulation (GDPR) cover gender reassignment? If a customer/client undergoes a gender change (both medical and non-medical), and requests to have all records (financial records, previous employment records, public government records) updated to reflect new gender, is it within the GDPR's purview to require the update of these records?
Yes, this would be covered by article 16: right to rectification:
The data subject shall have the right to obtain from the controller without undue delay the rectification of inaccurate personal data concerning him or her. Taking into account the purposes of the processing, the data subject shall have the right to have incomplete personal data completed, including by means of providing a supplementary statement.