There are a couple of options to consider.
First, you can be absolved from any priest who has faculties from his Ordinary, so you don’t have to go to confession at your own parish. While normally people go elsewhere for the purpose of anonymity, it could be done for a matter of scheduling, as well.
If you consult mass times dot org, you can find out not only the times of Holy Mass at nearby parishes, but also, in a lot of cases, the times for confession!
As far as if you do decide to have an appointment with the priest in this parish, yes, you should treat it with the same seriousness as you do a doctor’s appointment or an appointment for a job interview. In other words, when you make the appointment, you need to keep it…and if something comes up, you owe the priest the courtesy of letting him know as soon as possible and rescheduling. With the priest shortage that most of the country has, their time is particularly scarce.
As far as the “scariness” of confession, I will offer you two things:
- The Seal of Confession. If your confession is revealed in any way. the priest just excommunicated himself:
Can. 1388 §1. A confessor who directly violates the sacramental seal incurs a latae sententiae excommunication reserved to the Apostolic See; one who does so only indirectly is to be punished according to the gravity of the delict.
§2. An interpreter and the others mentioned in ⇒ can. 983, §2 who violate the secret are to be punished with a just penalty, not excluding excommunication.
- Unless the priest was just recently ordained, it is highly likely that he’s heard worse. And likely far worse.