Thanks, I decided a practical experiment would give me the answer.
After testing, I've decided the AoD is very defeatable in fair combat without brute & berserk, you need Finesse 2+, Hellrunner 2+ (walking speed under 0.6s), Eagle Eye 1-2 (on non AoMC), Chainsaw and 10+ large medpacks (theoretical extrapolation from AoMC). You should be able to halve the number of required medpacks needed if:
* playing on AoMC or
* using the Double Chainsaw or
* timing attacks to some degree
The actual experiment was made on AoMC with 3 medpacks and a modified standard Chainsaw (BPT) (some timing, but mostly held ground except when healing/switching armor, because I wanted to see what AoD's best shot at me was), but I'm going to assume on other angels it's ~3 times harder, taking average damage and AoD armor into account. All lost souls and demons were killed in standard hand-to-hand (Demons on doors) without taking any damage (in non-AoMC I would recommend lavabath). The medpack requirement shouldn't be that steep especially if using the double chainsaw and timing attacks. Definitely don't switch armor or use medpacks or anything else that takes ~1.0s while standing next to AoD though. Put at least 2 squares between AoD and yourself first.
tl;dr:
Fin 2+, HR 2+(walk <0.6s), EE 2, Chainsaw+, 10+ Large Medpacks -> Killable AoD w/o Brute?
YASD possible if you let the AoD double-hit you or don't heal (not possible if done right).
Oh yes, and different armor types didn't make a huge difference on his single attacks, so if wearing Red Armor or similar, ensure your movespeed is <0.6s so you can get away from AoD when necessary, but in any case, this would be a good way to wreck your armor fast, well unless you have plenty of spares. You're probably better off facing him with indestructible or regenerating armor (that doesn't slow you down).