Yes, it seems to be correct.
The conductor is sitting a bit low between the poles, but one would assume that the field lines of the magnet would still be right to left.
Just one remark, maybe you should make the second outer field lines of the conductor smaller, that is a smaller circle which fits inside of the poles.
The right-hand motor rule is normally used to determine the direction of the force on the conductor: thumb - force, index finger - current, middle finger - magnetic field.