If you liked
Kanojo ga Koushaku-tei ni Itta Riyuu
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...then you might like
Kusuriya no Hitorigoto
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Although they're vastly different genres, they both feature a cunning lady doing her best to dodge death and having to stay ahead of all the intrigue that goes on when you're surrounded by nobility.
These are both female led shows with a similar blend of romance and political intrigue, though both lean in the opposite direction.