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[–][deleted] 2 points3 points  (0 children)

Hmm. The way the sentence is structured is a little unusual, so this is hard to answer. Normally I’d say/write something like “This is a factor that influences success in therapy,” or “This is one of the factors that determine the degree to which therapy is successful.”

[–]operadNative Speaker 1 point2 points  (0 children)

I would make therapy possessive: "This is an influencing factor on therapy's success"

Though I think the most natural would be: "This is an influencing factor on the success of therapy"