Discreditable is a related term of detestable.
As adjectives the difference between discreditable and detestable
is that discreditable
is able to be discredited while detestable
is detestable, despicable.
Able to be discredited.
Low, mean, bringing discredit.
Stimulating disgust or detestation; offensive; shocking.
* Nouns to which "detestable" is often applied: crime, thing, practices, act, character, nature, person, conduct, villain, behavior.