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how bad is this likely to be?
How bad is it now? As long as you're using a proper bearing press, they will straighten up. If one side of the bearing isn't in the hole and the other side is with 2° of skew, you're stretching the hole by roughly double the amount it should be stretched by the proper interference fit, which shouldn't do any harm to either the bearing or the housing as long as you don't go any further at that angle. If you have gone further than that, take the bearing back out and check the housing for damage.
Got a new set of bearings halfway into a (PW) rear hub before I realized it was slightly misaligned; how bad is this likely to be? New bearings? New hub? Taking it to a shop tomorrow but looking to girding my loins for some pain