Is this a good way to make shrimp gumbo?

ROUX—

5Tbs of butter and 5Tbs of flour. Melt butter fully and mix in flour. Stir until milk chocolate color. Mix in 2/3 cup of onion. Stir for a few minutes. Mix in 2/3 cup of celery and 1/4 cup of bell peppers. 2 cloves of chopped garlic – Or one, use to taste.

BROTH—

1.5 quarts of chicken broth — mix with roux and stir. Mix in desired ammout of Rotel Tomatos. Let cook for an hour. Add desired ammount cajun and file powder. Stir. Add in peppers and then seafood. Stir, let cook. Remove from heat. Serve.

you almost got it, the few things i would change is use vegetable oil instead of butter for the roux and you do have to constantly stir the roux or it will burn (could take about 30 minutes to get the right color)(do not use a nonstick pan) and you can add the onions, bellpepper and celery and garlic after you add the broth (i would use seasoned water or shrimp stock not chicken broth) cook this about an hour
and another thing i wouldn’t do is add tomatoes but i make a cajun gumbo and what you are doing is creole and either way is OK
also you just want to add the shrimp at the very end like 10 minutes before serving.

serve with rice in a bowl

another suggestion would be to add okra if it is availible in your area chop in small pieces and add 30 minutes before serving