The priest wears all black for a similar reason. The conventional wisdom is that clerical black symbolizes "dying to oneself to serve the Lord." Part of dying to oneself is diminishing your identity. I think this is an important part of ordination that sometimes gets pushed to the side.
After ordination, a priest is no longer themself. They belong fully to God and to their people. While it is important for a priest to know themself and have a healthy understanding of self (because we have seen when that has become twisted and broken), it also becomes imperative to carefully chose where this sense of self is shared. This does not mean that a cleric should be inauthentic or fake, but it does mean that they should be genuine but cautious.
It can present problems if a cleric shares too much of their angst, woes, frustrations, and opinions with the people they serve. In today's world, this includes social media. Frankly, most people do not really want to frequently know when their pastor is experiencing emotional woes. I am not talking here about health issues--people should get updates about their clergy and their well-being. I mean, here, relationship issues, emotional ones, mental health challenges, etc. It is imperative for clergy to form relationships with other clergy to share these concerns. Or, to people outside their congregation. These are ideal groups with whom to share your concerns, angst, and issues. Or, perhaps a spiritual director or a therapist (which are mentioned here as options but are very distinct roles from each other). The priest is a professional and sharing too much, much like if done by your physician or lawyer, can be churlish.
Proverbs reminds us "He that hath no rule over his own spirit is like a city that is broken down, and without walls." This is doubly true of clergy. Healthy boundaries are the bedrock of good relationships. This means protecting the people we serve from our own challenges, but it also protects us from becoming too enmeshed and in situations which present moral and ethical challenges.
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