You're probably on to something. It's probably not directly "eliminate" or a synonym for it, unless I missed it when searching it up. I tried to translate a lot of synonyms for "eliminate" but none of them looked like "hom..." whatever she says. Homura could be a possibility but I honestly think we would hear the 'a' when comparing it to other japanese words that end with an 'a', no? I'm not sure. I appreciate you taking your time to do this though!