You're most likely skipping steps on fast travel moves. In the x direction, certain fast moves are failing to happen, causing the head to lose track of its position.
I'd check how easily the head slides around by hand in y and, especially, x directions. If there are any tight spots, or x is generally tighter than y, then make sure everything is square, and apply sewing machine oil to the rods.
The infill pattern looks pretty rough - extra resistance from catching a blob might indeed have triggered a skip. The other thing you might look at is checking your acceleration speed: the more recent default of 5000mm/s2 seems to cause problems in some set ups. I'd try lowering that to 3000.
That's a possibility because I had many supports around it for the arms of the character. But I would not expect it to offset the head by a whole half centimeter
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