Peruvian Walnut is known to be an eye and skin irritant. See the article at Peruvian Walnut | The Wood Database (Hardwood) (wood-database.com). It is not clear to me if this is from organic vapors or micro-particles.
You might want to wear a protective mask when cutting it. Something like this combined with safety glasses should work. Amazon.com: 3M Rugged Comfort Quick Latch Half Facepiece Reusable Respirator 6503QL, Gases, Vapors, Dust, Large : Tools & Home Improvement.
I would encourage you to check out the wood you are working on The Wood Database site, especially the section on allergies and toxicities and especially when working with a new to you wood, exotic or otherwise and especially now that you have experienced a reaction to such.
Happy cutting! What are you doing with the Peruvian Walnut? Post pictures when it is done.