As far as I know, nothing would happen to the you in this reality.
The best experimental results we can get is in the quantum double slit experiements, where multiple states "collapse" into a single reality, however the multiverse interpretation mantains that all other states still exist, you just don't get to see them.
So nothing would happen to the you in this reality, only that you would not get to see it anymore.
Actually the best way you can tell what would happen to the you in this reality, is by seeing what happens to the you a second ago.