It is true that most schools won't even notice a gap on your CV, but this is a sign of the low standards of our industry and therefore of the kinds of schools that are best to avoid. TEFL teachers with criminal records and other things to hide are not unheard of, and so the two most professional schools I got jobs with asked me questions about the bits I'd missed out on my CV (3 years of care work that didn't seem relevant and didn't fit into the two sides of A4) FIRST!
In contrast, a school I worked for that wasn't so professional took someone who had had mental health problems and had been told by the employment agency (owned by the chain of schools) that it was fine and he would get support, and then got sacked 3 months into the job because he was acting strange and getting complaints from students.
It's difficult to find a way round this that doesn't involve lying or at least hiding it, and therefore leaving you completely unable to talk to your future employers about it if you do have problems adjusting to the new country etc. Were you doing anything at the time that could be relevant to your application, e.g. studying a language or travelling? Do you have enough relevant skills and experience to be able to write a functional CV rather than a chronological one?
You didn't ask our advice on this, but I've known several people who have gone abroad with or after recovering from depression and other personal problems and if everything goes great, especially your love life, it can help sort you out or at least give you some distance from your problems. Should problems occur, though, you will need to make sure that you have quickly made a support network of real friends, that you don't burn your bridges back home, that you can get hold of any medication you might need etc.