Aren’t they aware that the TV series is based on a book series…? If anyone owns the name it’d be George R.R. Martin…
Did he trademark it? Did he sign that away when HBO did the TV series?
Not that it matters for a passport. But it’s entirely likely a media company owns the trademark for a book character rather than the author.
I think it would be more likely that grrm licensed the trademark and IP to HBO/Discovery rather than sell it. But I don’t actually know
https://trademarks.ipo.gov.uk/ipo-tmcase/page/Results/1/UK00917519208
HBO owns it in the UK. Weirdly, I couldn’t find an active entry in the US database.