Place a medium sized pot over medium heat. Add the butter, shallots, garlic and jalapeño. Saute for 3-4 minutes to soften, then add the half & half and chipotle peppers.
Whisk in the cornstarch. Allow the mixture to come to a simmer, so the half & half can scald (not necessary with evaporated milk). Then lower the temperature to medium-low. Next stir in the cream cheese and mustard.
Slowly start adding the shredded cheese. Stir and add by the handful, until the sauce comes together. If you prefer your cheese sauce a little thinner, add an extra splash of half & half. Serve immediately, or keep warm in a slow cooker or fondue pot.
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Notes
NOT A FAN OF SMOKED CHEESE? If you don't like smoky flavors, use all sharp cheddar.Storing Leftovers - Place leftovers in an airtight container and store in the refrigerator for up to 4 days.Reheating Leftovers - Place leftovers in a saucepan and reheat over low heat, making sure to stir frequently. If the Queso dip is clunky, add a splash of half and half to loosen it up.