My palm tree has half of the root exposed tilt over one sidebut the tree itself is straightshould I remove the 10 years old palm is it dangerous to leave it like thatit's look strong and sturdy?

If the slope around the base of the tree is fairly flat then just fill in with sandy soil to cover the roots. If the side of the trunk where the soil has eroded is sloped downward, then surround it with curbing or some type of low barricade to prevent the soil from further eroding from rain.