Hello and hope you are doing well.
There are no known interactions between fluconazole and propranolol, so you can safely take them together.
Hope this helped and do keep us posted.
As long as you are not pregnant, there will not be any adverse effects. I only mention pregnancy, because it was prescribed by an OBGYN. Fluconazole is generally not safe in pregnancy unless in a severe emergency.
But Propranolol and Fluconazole taken together will not interact with each other.