Push and pull are probably meant to mean in a straight line towards or away from your ship. However, I don't think it would be too much of a stretch to have it able to move the target ship in other directions too.
If your table does go for that ruling, I would allow the turret mounted tractor beam weapon to keep its hold as the ship moves from one facing to another. With multiple tractor beam weapons on different facings, I would at least want you to make another successful attack against the ship with the new weapon as it transitions between the two.
Also be aware that this ruling is almost certainly going to be considered a houserule. And it is quite a bit more powerful than normal. I'm sure that you are wanting to be able to do this so that you can move a ship to a different facing either so that they can't continue blasting at a weakened quadrant of your shields, or so that you can bring a more powerful weapon or more appropriate weapon to bear against them. Maybe even move them to be in line with another ship to get the most use out of a line weapon.