I thought it was pretty obvious, he is a mana junkie. In order to fight he needs to get his 'fix" and searches the multiverse for 'pure uncut mana"
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Problem with cliche back-stories is that they're almost a necessity, there's literally no understanding the actions of a super-hero without sufficient motive, and most motives have already been stolen by comic book writers by now. Considering the nature of your character, I would just have random DNA mutation at birth be the cause of her body producing a number of proteins commonly found in Honey Badgers rather than humans, hence the superhuman stats, just an idea though.
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Maybe her hiding in a trench near a honey badger's nest amid a military operation in the African deserts, where she gets turned into a bloody mush by an explosion, bits of a poor, blown up honey badger mixing in with her own flesh. Most are extracted afterwards, when she is rescued and brought to a hospital, but some remain, and when she is put into a regeneration camera of some sort, this turns her into a chimera with both human and honey badger DNA in her organism .
I like Vordy's idea. Maybe a few tweaks but it makes the most sense. Many superhero origin stories aren't as cheesy as you claim. Certainly there are some but then again many of those heroes were written in a time when pulp and cheese are what people wanted to read.