..or is T biased in their own beliefs and lifestyles etc and it will affect the therapy?

here are some examples i can think of off the top of my head to clarify:

client is not-religious and angry at GOD---- T is very religious
client is confused about relationships ----- T is gay
client is liberal ------T is conservative
client accepts all race/ethnicities ----- T is a white sepramist
client eats meat ---- T is a vegan

(**these are examples to show a point, they may not necessarily be my example)

see some very different lifestyles and beliefs between client and T

and your thoughts, smart people of PC..?