That serves as an explanation. Some angels are interested in exchange for this and that.

This and that can be acquired! Angels can be set up with reds. Can the angels work through a glass divider.

They'd rather not, makes it hard to get awkward angles, but they could.

It could be a surrounding glass divider if that helped!

Not really. Why the divider?

...religious reasons.

Would it help if they were same-sex angels or something?

No, but that's very kind of them.

Some of the angels just don't think they can work through a divider, it'd make it too hard to see all the everything and these are awfully thorough specs.

As long as they won't have to touch the patient they can make do without a divider.

...they could wear gloves? What religion even is this?

It's an Amentan religion. Gloves will not help.

Some of the angels can work under these constraints and some cannot.

"You realize they can also set themselves on fire afterwards. Or just angel away a layer of skin."

"But if they refused - or the summoner got hit by a train -"

"These are medical angels who have to honor requests including stupid things like 'no blood transfusions', I think if you tell them that for reasons of patient religion they can't go around having relevantly touched the patients because this is a purification ritual they'll cope."

They tell the angels that.

The angels cope. Some of them are real curious about the religion now.

One yellow will cautiously explain that the religion holds that the handling of the dead causes ritual uncleanliness, and that doing it regularly for long enough causes a deeper kind of ritual uncleanliness, and ritual uncleanliness precludes certain other religious rites and so these people would like to get it removed. 

Huh. And the angels would... catch it? And then couldn't perform this purification ritual for others?

Yes, exactly. 

And gloves don't do the trick because...?

They want to accommodate the most stringent opinions about ritual practice so that the result is accepted by everybody, and the most stringent opinions are that touch through gloves is still a problem. 

But angeling off a layer of skin is definitely fine?

Taking a ritual shower would be fine and angeling off a layer of skin is agreed to be shower-equivalent.