I'm not sure I agree completely with Helen Joyce. I think she is focusing on obtaining a GRC but doesn't include as part of her argument the issue of qualifying for "gender reassignment" according to the Equality Act 2010. If you read the BBC article carefully it vaguely talks about "any trans person who has transitioned to be recognised as their acquired gender".
Equality Act 2010:
7 Gender reassignment
(1) A person has the protected characteristic of gender reassignment if the person is proposing to undergo, is undergoing or has undergone a process (or part of a process) for the purpose of reassigning the person's sex by changing physiological or other attributes of sex.
This is so broad that someone thinking that they might have electrolysis at some future point could arguably be included.
Of course, the BBC shouldn't be publishing articles written by activists that are worded in such a slippery way that they are calculated to deceive.