Hi Emily,
Answer choice (E) contains a conditional statement, which can be diagrammed as follows:
Do more harm than good
Rely on quackery instead of valid info
To logically negate this answer choice, you need to show that the sufficient condition can occur even in the absence of the necessary condition. In other words, the logical opposite of answer choice (E) would state,
People can do themselves more harm than good even if they don't rely on quackery to diagnose their medical conditions.
In other words, you can harm yourself even if you use scientifically valid information. Nobody said that relying on scientifically valid information precludes the possibility of harm, which is why the logical opposite of answer choice (E) has no bearing on the conclusion of the argument.
Let me know if this helps!
Thanks,