"Trans people are not particularly visible in the media or fully represented, even on issues that directly affect them"
Where have you been? The BBC has its own LGBTQ correspondent, and they mainly talk to and about trans-identifying men especially how vulnerable and marginalised they are. For years we had women's rights an child safeguarding portrayed as 'transphobic'.
I will agree with you in that what is not fully represented is when a trans-identifying man commits a crime (they'll be referred to as if they are women)*, or they gain an accolade that belongs to a woman (BBC's 100 Woman; BBC's Sportswoman of the year have each had a transidentifying man in there since their inception).
*Male crimes reported as female crimes by the BBC:
Hollie/Ryder Hansom
Nicole/Kobi Earle
Joanna Rowland-Stuart (we don't even know his previous name but he murdered his partner with a machete)
Scarlet Blake/Fangze Wang
Nathan/Naomi O'Brien
Isobel Murphy
Zara Jade
Zoe/Kyle Watts
Jessica/Alan Brennan
Debra/Christopher Wright
Katie Birtles/ Robert O'Farrell
You can google these and you'll find there are murderers, paedophiles, rapists and a transwoman who stole nappies out of a bin and smeared their contents o around the site of a nursery
But I expect that's not what you are referring to...