What's grotesque about semen? Nasal semen therapy is no more (and maybe much less) grotesque than nasal urine therapy. Aversion to seminal fluid seems to be a modern point of view. "Religion has as it's origin, semenatophagy, the ritual ingesting of sexual fluids," according to the website called SacredSemen.com. The history shown on that page is fascinating, well worth reading.
There are lots of alternatives to NST, including over-the-counter remedies, but when they don't work or if they're too expensive, then NST is worth a try.