From a permanent deacon…
Can a Permanent Deacon perform a Baptism according to the Old Rite? I would be using the booklet entitled “Baptism” published by Angelus Press.
My old pastor, the late Msgr. Richard Schuler, used to tell a story about the furor and cross looks he kicked up when he asked – as a transitional deacon – to baptize a relative at his home parish. The old pastor didn’t like the idea at all, but grudgingly conceded.
However… a deacon is a deacon is a deacon. It matters not if one is a permanent or transitional deacon in this matter.
Back in the day, the deacon was the extraordinary minister of solemn baptism. He had to have permission from the local ordinary or the local pastor to do it.
Therefore, the pastor of the parish can let you, as a deacon, baptize in the newer form or in the older form.
That said: You MUST have the pastor or some other priest (or a bishop) ahead of time, exorcise and bless the salt with the older, traditional rite, and then exorcise the bless water to be used in the baptism in the older, traditional rite.
Also, I would make sure to know the rite inside and out, forward and backward, and be able to read it properly, understanding also that water must flow on the head.
Finally, when I consider both the newer and the traditional rite of baptism, with the exorcisms and so forth, I would choose the older, traditional form every time… if baptism could be repeated… which, of course, it can’t be. And I would have it done by a priest or a bishop.