Please correct it to a simple and natural English expression.
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You had a cold paw ... I am sorry, It’s all my fault.
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（When I took a picture of my dog ​​outdoors, I wrote about how I felt when I later realized that my dog ​​was raising only his right front leg.）

My English ability is limited, so I had no choice but to write in English with a translation app.

See a translation

@DO5
We use freezing to imply that we are/ or something is very cold. It’s an understood exaggeration.
Wow, that movie theater was freezing, I could barely concentrate on the movie.
Oh, you must be freezing with that light jacket. Let me get you a heavier coat to wear.
Chilling implies that something is in the freezer or refrigerator. So, it doesn’t work to describe a cold temperature as it’s a verb that describes the action of becoming colder. You could say:
I feel chilly- this implies a low temperature.
Your poor paw is so chilly/cold. I’m so sorry!
I hope this helps❄️