With a LhRh agonist, you are essentially reproducing the same condition as that of castrated females or males who only rely on their adrenal glands for sex hormone production, hence very little remains, too little to be worried about in regards to androgens. I actually now supplement with testosterone post-op as I find my testosterone is too little.
As regards to oilier skin since starting Suprefact, you should know the first 2-3 weeks, the pituitary gland actually goes into overdrive due to the relentless action of the agonist, eventually desensitizing so that those first few weeks, your gonads will produce increasing amounts of testosterone, hence the reason why you are experiencing such symptoms.
This anti-androgen is the gold standard as it is relatively safe and usually has very little side-effects when combined with the appropriate amount of estrogen.