Sentence Correction

Though lively and emotional, the debate over whether certain psychological problems are genetically determined or cemented in early childhood is ultimately irrelevant to the treatment of those problems.

A)Though lively and emotional, the debate over whether certain psychological problems are genetically determined or cemented in early childhood is ultimately irrelevant to the treatment of those problems.

B)The debate if certain psychological problems are determined by genetics, as opposed to cemented in early childhood, is ultimately irrelevant in treating those problems.

C)Regardless of whether certain psychological problems are genetically determined or cemented in early childhood -- the subject of lively debate -- they are ultimately irrelevant to psychological treatment.

D)Certain psychological problems may be determined genetically or cemented in early childhood -- the subject of lively and emotional debate -- but are ultimately irrelevant to their psychological treatment.

E)Even though lively and emotional debate exists whether certain psychological problems are genetically determined or cemented in early childhood, it is ultimately irrelevant to psychological treatment.


OAA

My doubt - Are "weather" and "or" acceptable in one sentence.

whether is used when the intent is to depict a choice, an alternative or a possibility. Two most prominent grammatical clues indicate that whether should be used:

1. After prepositions
2. After verbs

Sentence under consideration is a classical example, where whether is used after the preposition over.

Since I see an option using if, this approach can actually prove quite handy in determining whether if or whether should be used:).

p.s. Our book EducationAisle Sentence Correction Nirvana discusses whether vs if usage, their application and examples in significant detail. If you can PM you email-id, I can send you the corresponding section.

OF COURSE whether can be used with "or" why not?
"Whether your performance is, good or bad, I will accept you." this is perfectly grammatically correct.

Idioms.

"Whether" provides us with an option, such as in your question.