In Japan, you usually can’t go to the dentist and get everything done in just one visit.
A visit problem is when someone makes a visit, because you're the type of person who doesn't like visitors, since they're usually so inconsiderate and you have to feed them. That's why a visit is a visit problem.
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.