Yes it does matter to some people
Especially in the 'Bible Belt' of the US. Some states still have laws that make it perfeclty legal to fire someone for being Gay/Lesbian.
Then there is Uganda where engaging in a gay relationship could get toy sentenced to death.
Most of the hard line Moslem world make it very hard for Gay people to be open about their sexuality.
On the upside, being Openly Gay is mostly better than openly Transexual in a large part of the world.