No, you should not veer for roe deer or other hoofed animals that are lower than the hood of the car, instead you should brake to try to avoid a collision. If you veer or swerve you risk driving off the road or colliding with oncoming traffic, something that is far more dangerous than colliding with a roe deer.
You should, however, veer for moose (as well as for red deer and fallow deer) if doing so is necessary to avoid a collision. You should of course first try to stop the car by braking. But if the collision cannot be avoided you should steer towards the moose's rear end. If you are lucky this will make the heavy forepart of the animal's body end up outside the critical windshield zone.
In all situations where you have to veer, you must be aware of the dangers of crossing over to an oncoming lane. You then expose yourself as well as your fellow road users to death.