Hello! This might not be as specific of an answer as you would like, but it relied heavily on the fact that the Dutch were far more focused on trade and profit rather than religious conversion as Spain and Portugal were. This was proven when a local uprising happened between local warlords in Japan that started when Japanese converts beheaded local budists (look up Shimabara Rebellion). And although the Jesuits (Catholic order, usually associated with Spain and Portugal) supported the rebellion the Ducth provided arms and support to the ruling Japanese establishment, showing and displaying the difference between the Dutch, Portugese, and Spainish.

To add on a little to what u/Jewbebz said, the Dutch also purposefully played up fears of Catholic influence from the Spanish and Portuguese. Basically they told the Tokugawa governments they were right to be suspicious of the Catholic nations. They did this essentially because they were competing with the Portuguese and Spanish for the East Asian trade. The Dutch also legitimately had almost no interest in religious activity in Japan and for the most part were successful in getting that point across.

Edit: China in the Tokugawa World by Marius Jansen is a pretty good book on this topic if you want to read up a bit more. It's quite academic though.