People just need to remember that it's just a game and games are made to have fun.
FFXIV ranked system gives rewards and people want those rewards, in the process they list the reward higher then their own enjoyment this is where it goes wrong.

What I did was simple, I played very relaxed if I was in the last rank of a tier didn't care if I lost or won but always tried to analyze what I did wrong every match.
When I got two wins in a row I began to focus and hoped for a strike and keep on winning, if I lost the streak I would play two more rounds and see if I could get another streak.
If I didn't get another streak I would stop playing for a bit, do something else for half an hour or so. Relax drink some coffee listen to some music, all in all keeping it relaxed.

The first few days I did not do this, I kept playing, I kept pushing and got irritated when I lost.
I noticed I wasn't having fun anymore and so I switched up my game.

Keep in mind that having fun is the only reason why we play games.
There is nothing to lose nothing to gain only your own enjoyment.