As the title mentions, I'm looking for a manga about a sick princess who swaps body with a villainess.

I think the setting was that four princesses from different clans were sent as potential brides for the prince/heir to the kingdom, and our protagonist the sick princess seemed to be the one in the lead. It's not clear if her illness is terminal but it made her body weak. Her rival, the villainess, really hated the protagonist and tried to kill her, but she failed. No one really seemed to like the villainess and her lodgings/living standards seemed poor as a result.

Somehow they switched bodies. I think the villainess implies it was on purpose but I'm not sure. Unlike other mangas, the our protagonist is actually quite happy to finally have a healthy body. She was never in love with the prince and didn't do anything particular to charm him. It was just her natural virtue and character. Even if she's living in poor standards and has to take the scorn in place of the villainess she remains happy. She also finds out that her original body's supporters did things without her orders. For example, her former maid did some things to ostracize/bully the villainess.

Meanwhile the villainess in the protagonist's body is finding out how hard a life the protagonist had. The protagonist was a hard worker with a full schedule, even with her weakened body, which the villainess is finding really inconvenient.

The story's setting seems to have Asian themes by which I mean the culture, clothing, architecture, etc.

I think after the protagonist is in the villainess' body she is set to be executed by wild animals but she somehow survives and is thus pardoned/spared death?

The last chapter I read was something about the protagonist finding out her new/current maid is being bullied by the other maids and decides to do something about it. It stood out to me because so far the protagonist doesn't really seem to care what other people do to slander/bully her now that she's in the villainess' body. She's just so happy to be healthy. That's why I was looking forward to seeing what would happen if you mess with her people, but I forgot the title.

I don't know what this is, but this seems interesting. Please share with me the title if you found it ^^

"Though I Am an Inept Villainess: Tale of the Butterfly-Rat Body Swap in the Maiden Court"

https://www.mangaupdates.com/series/z17sxhk/futsutsuka-na-akujo-dewa-gozaimasu-ga-suuguu-chouso-torikae-den

ᴡᴀᴛᴄʜ ᴛʜᴇ ꜱᴜɴʀɪꜱᴇ ᴀʟᴏɴɢ ᴛʜᴇ ᴄᴏᴀꜱᴛ,
ᴀꜱ ᴡᴇ'ʀᴇ ʙᴏᴛʜ ɢᴇᴛᴛɪɴɢ ᴏʟᴅ,
ɪ ᴄᴀɴ'ᴛ ᴅᴇꜱᴄʀɪʙᴇ ᴡʜᴀᴛ ɪ'ᴍ ꜰᴇᴇʟɪɴɢ,
ᴀɴᴅ ᴀʟʟ ɪ ᴋɴᴏᴡ ɪꜱ ᴡᴇ'ʀᴇ ɢᴏɪɴɢ ʜᴏᴍᴇ.

𝖽4𝗏𝖽 - 𝖧𝖾𝗋𝖾 𝖶𝗂𝗍𝗁 𝖬𝖾
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Thank you!!