Step 1: Recall the site of androgen synthesis. Within the testis, the seminiferous tubules handle spermatogenesis, while the interstitial tissue between the tubules contains the steroid-producing cells.
Step 2: These interstitial cells are the Leydig cells, and they are the direct source of testosterone in the male.
Step 3: Pituitary LH binds Leydig cell receptors and drives cholesterol toward testosterone synthesis. The distractors (somatotropic, acidophilic, gonadotropic cells) are all anterior pituitary cell types and do not make testosterone.
Step 4: Therefore the testosterone-secreting cells are the Leydig cells.
\[\boxed{\text{Leydig's cells}}\]