I don't think you can force the GP to sign it, but GMC guidance is that is the process they should be following, so tbh, they don't really have an excuse not to given your feelings. Some GPs are great, others are bigoted, and some just ignorant.
Only a percentage of those who are referred to the GIC ever have GCS, so it's nonsense. You may identify as non-binary, you may only want HRT, or may not even want that, but that's what the GIC is there for, to at least some extent.
The state of understanding on gender in the NHS is broadly woeful (though slowly improving). Be informed, know your rights, and the processes that should be being followed. X
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