When one makes heavy snoring sound during sleep, could that cause problem in marriage?

YES: But you should get a sleep study done either at a sleep study center(best) or have your doctor order at home sleep study (as long as it has some form of positional monitoring) to get an accurate diagnosis first. If no sleep apnea your dentist can fabricate a variety of oral devices that can help with your snoring. If you suffer medical issues from sleep apnea that will have more consequences.