Nah, you really don't need peppers for it to be a taco. All you need is:

• wrap - usually corn, but flour works
• seasoned protein
• toppings - lettuce, tomatoes, etc
• optional sauce

Layer it up, fold, then eat. There are a ton of options, and many of the protein options have no peppers, spicy or otherwise. It's a completely irrelevant part of the dish, like which protein you use.

I'm not European, and I work with a Mexican who corrected me on a lot of my assumptions about Mexican food.