From a recent NHS job advert:
The Disclosure and Barring Service (DBS) offers a confidential checking service for transgender applicants in accordance with the Gender Recognition Act 2004. This is known as the sensitive applications route, and is available for all levels of DBS check - basic, standard and enhanced.
The sensitive applications route gives transgender applicants the choice not to have any gender or name information disclosed on their DBS certificate that could reveal their previous identity. To contact the sensitive applications team, please telephone
https://www.nhsjobs.com/job/UK/North_Yorkshire/Scarborough/York_Scarborough_Teaching_Hospitals_NHS_Foundation_Trust/Physiotherapist/Physiotherapist-v6767892
Government Guidance
https://www.gov.uk/guidance/transgender-applications
KPSS wrote about this being a safeguarding issue 2 years ago
https://kpssinfo.org/dbs-checks-and-identity-verification-pdf/