Step 1: Hirsutism is excess male-pattern hair in women, driven mainly by androgenic stimulation of hair follicles.
Step 2: Danazol is a synthetic androgen with strong androgenic and anabolic activity, so it commonly causes hirsutism. Option A causes it.
Step 3: Phenytoin is a well-known cause of hypertrichosis and hirsutism, alongside gum hyperplasia and coarsening of features. Option B causes it.
Step 4: Norethisterone is a 19-nortestosterone derived progestin with residual androgenic activity, so it can produce hirsutism and acne. Option C causes it.
Step 5: Flutamide is a non-steroidal ANTI-androgen. It blocks androgen receptors and is actually used to TREAT hirsutism, not cause it. So option D is the exception.
Conclusion: The drug that does not cause hirsutism is flutamide, option D.