I'm unfamiliar with the Sony so all I can give you is the lowest common denominator:
Go into the setup and look for 'colour balance', 'RGB settings' or similiar. Then adjust the green to get rid of the tint.
Some manufacturers hide these settings and need a combination of button pressed to access them, others just offer two types of setup - service/advanced and standard/basic are usually used to describe them.
You should really be looking at your manual or trying to get hold of one. Hopefully somebody with some Sony experience can offer you more information.