Heat 2 tablespoon of canola or vegetable oil in a large nonstick skillet or wok over medium-high heat for one minute. Swirl the pan to coat, then stir in the mushrooms, onion, and bell pepper.
Stir fry the veggies over medium-high heat for about 8 minutes, stirring occasionally, until the mushrooms are browning and releasing their liquid.
While the veggies are cooking, make your sauce by stirring the soy sauce, lime juice, water, honey, garlic, sesame oil, ginger, cornstarch, and crushed red pepper together in a bowl.
Once the mushrooms have browned, stir in the sugar snap peas and sauce.
Continue to stir fry your veggies over medium-high heat for 2-3 more minutes, stirring often, until the sauce has thickened and coats the vegetables nicely and the sugar snap peas are just crisp-tender.
This vegetarian stir fry is best served over cooked rice.
Notes
It really just takes 2-3 minutes over medium-high heat for the sauce to thicken up and the sugar snap peas to cook just enough; you want to preserve their crispness.