So let's see, it's the Archangel-Emperor of Mankind, Archangel of the God of Humans vs Tykki, Angel of the God of Weapons.
The Emperor will be above-average power compared to a warrior angel, plus a final form that's a giant dragon. On an open field, he will face Tykki with an army of 5,000. Basically being a human, he can be guided by the God of Humans, increasing his power.
Tykki could no doubt beat the Emperor when not in his final form in a one-on-one fight due to her basically being a weapon. Again, due to basically being a weapon, she can be guided by Fusil the God of Weapons, increasing her power.
Without powerups or final forms, archangels can only be killed by armies numbering in the thousands. Let's say 3,000 for a regular one and 7,000 for Tykki. That would mean that she could either kill off the Emperor or the army, but not both.
Adding in guidance, Fusil will be guiding one super weapon and the weapons that the army will bring. The God of Humans will be guiding one super human and 7,000 humans. The army and the Emperor will both have armour as well so that should be taken into account. Also, the strength of the gods' guidance will be determined by how many units of our sphere exist. For Fusil it's the amount of weapons and for the God of Humans it will be the amount of humans. Now, assuming that the average human does not have a weapon, and that the average soldier carries 3, that would mean 21,003 weapons vs 3,000,000 humans so I think the God of Humans will have the advantage.
Finally, there's the fact that the Emperor has a final form that's a giant dragon.
I think I win, even without sacrificing a good 83% of humans to power the Archangel-Emperor.
Even if you managed to get a hundred men fighting in the same place as your emperor, they are nothing in comparison to my Tykki. It takes thousands of mortals to fight off a normal Archangel, if I am correct.
The army I had in mind had hundreds of thousands. An actual army would be comprised of about 20,000 at least. If it only takes thousands to fight off an archangel, then sacrificing millions to an archangel should theoretically increase its power so greatly your archangel wouldn't even get a CHANCE to run away before mine disintegrates it!
If the sacrifice comes from your end, remember that your sphere is humans. It does not reflect well on a god to destroy something so closely aligned.
Then it's a good thing this is all hypothetical!