It's no worse than "Brittany", which is the literal name for a region in France. As to whether it will become popular, that depends on how Britain itself is viewed by the general public in the near future.
Pretty, but, like many other commenters have said, possibly not the most practical in certain countries (England). My suggestion is the combo 'Ruby Tanya' which does sound slightly like 'Rule Britannia'.
Just stay out of Europe of you use this pompous and pretentious name for your child, as it sounds very, very bizarre in Europe. This is actually the Finnish word for 'Britain', and I'm pretty sure it's the equivalent of 'Britain' in other languages as well. The name would, of course, be an impossibility in Britain itself.
I love this name because it's a place name, but not a blatant place name, like London. The only reason I don't like it is because it is so close to Brittany.
I adore this name. I think it is better than Brittany/Britney, and is the old Roman name for the country of what is now Great Britain (Britain is also a name I like for a boy). I named a cat Britannia Morgan LeFay, for the country, and King Arthur's younger half sister, Morgan LeFay.