This is where you can take the bus to La Virgen del Camino on Plaza de Santo Domingo. As you can see, it's only a short walk from the cathedral. I don't remember what number the bus was, just ask the locals.
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Once you get to La Virgen del Camino, rather than staying on the N-120, take the small road to the left (the Basilica de la Virgen is behind your right shoulder):
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Then, shortly after, turn left through the fields until you get to the roundabout. You have to cross once over and once under the highway, and then it's all pleasant walking away from traffic to Villar de Mazarife.
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Buen camino!