Australian universities generally have open and welcoming policies to LGBTI people. However the rest of the world may not be as welcoming as we are here.
It is important that you are safe when you are travelling and for this reason we strongly urge you to consider carefully the choice of country for your international experience.
There are places in the world where LGBTI people face terrible discrimination. Think carefully about where you go. Have a look at the Smart Traveller website which specifically looks at LGBTI issues.