In the insert of your 6-quart Instant Pot, add all the ingredients EXCEPT the hominy and chicken.
Press the soup button on the front of your Instant Pot and make sure it is for 30 minutes. If you don't have an Instant Pot, high pressure for 30 minutes is what you want.
After the soup has finished cooking, do a quick release then add in the hominy and rotisserie chicken into the soup. Cover and let the residual heat warm up the hominy and chicken for another 10 minutes. Season with additional salt and pepper, to taste.