Baruch Hashem, InnTee!
EDIT: so many small things left undone, I'm sure I didn't address everything yout wanted, so I'll try again if I need to. .... And I expanded some after work. Apologies for my vanity in answering at length.
I've been struggling for years with a theological problem that I can't quite see through. It's this: why would God ever allow evil to be done in God's name?
The simpliest (and hardest) answer is because He loves us, and will not do violence to His creation.
More complicated is that He does not allow it so much as He suffers it to be done, again because He loves us.
To go further, we have to explore the nature of evil itself -which is not pursued in Holy Writ. So a little (more) Philosophy and a little (more) Theology has to be used. But first, a little rabbit hole on the Will of God and its relation to God in Himself.
He does not will evil to be done in His Name, He does not 'allow' evil to be done in His Name, but He suffers evil done in His Name in the same that He suffers all evil "for a little while", for "the Kingdom of Heaven suffers violence and violent men take it by force"(Matthew 11:12). God in Himself does not suffer of course, because He does not change.
God's permissive will is not God's perfect will. God's 'permissive will' is how God gave us up to the lusts of our heart (Romans 1:12, Psalms 81:12), it is the will that stores up the fullness of wrath (James 5:3 , Romans 2:5). God's 'perfect' will is health and salvation, but His 'permissive' will allows wrath to build up "against all ungodliness", but in actuality, His will is one because He is One; moreover He is without change.
Oh look, another rabbit hole on the divine perfections!
He does not change His will or mind, because in Him His Essence is His Existence, and His Mind and Will are identical, and He is pure act with no potential for moving from imperfection to perfection, thus no change.
In us this is not so, our essence and existence are not identical, we are full of potential to become, so in us is there is the principle and potential of change. Change can lead to privation, a loosing of some quality, which in turn becomes the ground of evil.
Evil, according to Theology, is a privation, an absence of some good. Thus there is a physical (body, mind and emotions), moral, and spiritual privation in creation, thus the possibility for evil. Creation by its very nature is limited, and finte, thus it can and does change, and suffer loss, can become 'evil'. It is only in becoming completely filled by God (overshadowed by His Holy Spirit) that we become good.
Back to God, His Love, and a little about our wills.
I mentioned God suffers violence to be done in His Name because of His love. This love of God for Creation is His gift, wherein He made us "in the image and likeness of God" (Genesis 1:27), and created us to be His agent-intellects and stewards on earth, having a full independent power of agency to enact real changes, reducing potentialities to act. But it can go either way, and as the creation story shows about Adam "he chose...wrongly". And we've beens choosing wrongly ever since. Ahem.
It's a steep price to pay, but one God was/is willing to lay, otherwise He would have sent not a Suffering Servant, but an avenging Warrior Angel or Messianic Warrior-King and Teacher of intertestamental Judaism *cough* Essences *cough*
We're not really going to understand the "permission of evil" this side of the Second Coming though , so I'm sure I've missed a few things here, which I'll try to correct of opportunity presents itself. But for now, this is the best i can do. I hope it helps.