I agree with you that the priest really should be available, and he should not expect people to call and make appointments. Unless there have been some extenuating circumstances, he seems to be somewhat derelict in his duties.
The issue of a “right to an anonymous confession”, however, seems to me to be something else. I had always thought, perhaps incorrectly, that it was the content of the confession that was to remain unknown to others, not the name of the person confessing. This would be almost an impossibility in a small parish. So what that you know the first name of others waiting to confess or that they know your name? It’s the Catholic Church, and people go to confession–it’s common, it’s expected, and many people do it. What harm is done by someone knowing the name of another?
In Christ,
Jeff