I don't think it's great to mock someone for being ill, if they are, or for how they look, etc but it is OK, and I would argue necessary, to pick apart illogical and false claims being made in a news report, especially when they are part of an ideology currently behind changes to law, education and policies that harm women, children and gay people.
The claims being made here are nonsense, and top of that, they aren't even internally logical or consistent. Why is the BBC, which is supposed to have good standards of evidence-based, fact-checked journalism, promoting and platforming stuff that makes no sense?
Mockery or laughing at the logic fails and easily disprovable lies of gender ideology is a perfectly reasonable response to them IMO. We have satire for a reason. To highlight and challenge when something is a load of bullshit.
That doesn't mean people don't genuinely have dysphoria about their sexed body. They do and they should have help for that. And even news stories about it - no problem with that if they're factual and well-researched.
But a person being encouraged to believe they have to suffer and have every day be a terrible "battle" for them and hide at home because there are no suitable non-feminine underpants to use a pad with, is just wrong. It's not true. As PPs have said a 5-second google will find exactly what this person wants. As well as being a lie, it is deeply unhelpful to this person to encourage them to feel like a victim and to publish their claims which contradict each other and don't add up, making them look really clueless and confused.
Gender ideology is harmful and nonsensical and it's taken over previously factual, sane outlets like the BBC because so many people think it's "bigoted" not to swallow it whole, because they've been told that, by... gender ideologists. The whole situation is a circular, unevidenced mess and we should be picking it to pieces in order to move on and return to news being rational and meaningful.