I don't really know how it works but whatever that was given to her b4 cutting ties is hers right? Like the 200 mils she was given.
I was thinking that won't becoming a commoner ex-duke come with a slew of problems, mainly dangerous people coming after her but then I remembered she has that ghost Knight sword dude so most things are most probably gonna be fine.
I guess the author had thought things through at least to some degree. Although, so easily obtaining the most OP Knight in history immediately after leaving the house is kinda too convenient imo. The ice Demon was too convenient too.