The 'education and training of cantors, musicians and the parish choir' are the duties and prerogatives solely of the choirmaster or DM. This is definitely out of place.

IMO if you have to have two separate people like this working the same number of hours (i.e. both full-time or both part-time), I would think the Director of Music, as a liturgical ministry, would report to the Director of Liturgical Ministries (who presumably would be in charge of other liturgical ministries like altar servers, readers, sacristans, etc.), not the other way around. It sounds like in this case (a) the parish has its organizational chart upside down in this regard and/or (b) the DM is not wanting to do part of his/her job.

FWIW, if I was looking at for a DM position and it didn't report directly to the pastor, I wouldn't even consider it. These so-called liturgical ministry directors often have agendas that conflict with the DM's, and often times they try to undermine the DM's job such as choosing the music.

Are we all reading the same original post? Some of the replies seem like they're in regards to the title and not the post.

It kinda seems to me that this parish has a DLM and a DM. The DLM's training of cantors and choir might deal with decorum, dress code, and any movement that needs to take place. It seems that the direction (the musical aspect of the choir and cantors) belongs to the DM.

@CCooze, it's the situation where they want to call the shots, but they want you do to the work for them. You have the responsibility, but not the authority that should go with it.