White Mexican Cheese Dip (Attempt #1)

Back where I used to live (not Mexico lol), nearly every Mexican restaurant has this on the menu as an appetizer.  This area, however, seems to have never heard of the dish, thus I am left to gorge on it every time I go where I can find it.  I get cravings for it more often than I can get away to have it, though, so I thought perhaps I should attempt making it.  While this recipe does yield a very tasty dip, it's unfortunately not the one to satisfy my craving, so I'll have to search and make more attempts in the future :)
Here is the link for the original recipe:
http://eatingonadime.com/mexican-white-cheese-dip/

I followed this recipe pretty closely, with only slight changes.

Ingredients:
1/2 lb. white American cheese (I bought sliced from deli counter)
1/4 c. milk (I used skim)
1 T. butter
1/2 of a 4oz. can green chiles
around 1 tsp. cumin
around 1 tsp. garlic salt
pinch of cayenne pepper

Instructions:
1. Prepare double boiler with water in bottom pan, bring to simmer.  If you don't have a double boiler, a saucepan will do, but be careful with the heat.
2. Melt cheese and butter together, stirring often.  (I added about half the cheese at first and after that melted, added more and more at a time):

3. Add milk gradually, stirring until melted/combined after each addition:

4. Add green chiles and spices, stir until well combined.  (I only used half the can of chiles, as that already seemed like a lot to me. Note--you do not drain the chiles before adding):

5. If desired, add more milk to achieve thinner consistency.  Serve immediately with chips and enjoy!

Additional note: I did end up adding a tiny bit more milk, and since I don't have a snazzy little dip-warmer, I had to reheat a few times while enjoying.