Any intervention in another's affairs requires a very high burden of proof to show that it can be justified. All evidence in favor needs to be evaluated as to whether it can meet this burden. Without meeting this burden intervention can be assumed to be wrong.
The anarchist position as I understand it is never non-intervention as an absolute principle, but that intervention is wrong without adequate justification; particularly, as it relates to the preferences of the affected parties.
The fact is, as much as we do not like Western power in principle, in practice there are many instances where we solicit it for what we think is right, because there is no alternative. Naturally, we seek out these alternatives if we can. But it is hypocritical to foreclose the same options to others when in our daily lives as Westerners we pursue them all the time.