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The rotation of the Earth deflects ocean currents and winds. The sun rotates but does the rotation deflect moving plasma and affect the suns magnetic field?

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Yes. For example in "The Sun and its Restless Magnetic Field" (Manfred Schüssler)

The forces which are most important for the dynamics of a magnetic flux tube are the buoyancy force, the magnetic curvature force (if the tube is non-straight), the Coriolis force, and the aerodynamic drag force...

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Rotation has a strong influence on axisymmetric flux tubes rising due to buoyancy: the Coriolis force deflects the flux rings to high latitudes unless their initial field strength is larger than about $10^5\ G$

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A rising convective cell expands and rotates through the action of the Coriolis force, twisting a magnetic field line into a loop with components perpendicular to the plane of projection. In this way, a poloidal field component is generated from a toroidal field, and vice versa

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  • $\begingroup$ Presumably sunspots which contain flux tubes get some deflection. $\endgroup$
    – user56626
    Commented May 29 at 18:14

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