If a large mass puts a dent in the fabric of space and causes things to move toward it how do you explain the tilt in orbits?

An object's tilt is defined as its position with respect to the solar plane. The earth is oriented at a 23.5 degree tilt, but this is because of its relationship to the solar plane.

The north and south poles' tilt with respect to the solar plane is measured.

According to Newton's first law of motion, the earth moves in a straight line at a speed of 18.5 miles per second.

Now, the sun's pull on Earth is approximately 0.0006 of the earth's gravity, measured against our own gravity, which is not much, but just enough to be that outside force mentioned in Newton's first law of motion.

The earth would cease rotating around the sun and begin to move in a straight, albeit tangential, path away from it if the sun's gravity suddenly stopped.

Tilt in orbits is due to the gravitational influence of nearby masses, affecting the trajectory of objects in space.