When I find a PI sprout, I use plastic bags as the glove. Put 3 up my arm (because 2 just doesn't seem like enough protection) and use bagged hand to pull sprout. Then use other hand to pull bag handles down over arm/hand, enclosing PI inside. Tie shut, put in dumpster, run to wash even though I know I didn't touch it. It's a very scientific process.
IDK what your mystery plant is, but doesn't look like one I'd be afraid of. If it's possible for a plant to be irritating, I'm sensitive to all of them, even most of my house plants. Plenty of plants can cause a contact dermatitis, and many others can have irritating sap. If you notice sap inside a plant that has a color (like white or orange) or is sticky, be suspicious, wash hands, and avoid further unprotected contact. Finding out you have a sensitivity to latex, calcium oxalate, or other irritating alkaloids is a real, itchy bummer!