If kuzan can reach sub zero he can freeze the sun. So stop with the what ifsYeah. Magma is rock subjected to heat, and thus is matter. Fire isn't matter, it's a chemical reaction. Here's my two cents worth: What actually IS Prometheus? Is he physically an actual star, or is he just fire animated by the Soru Soru, and as follow-up questions, what's his natural temperature, and how hot can actually he get?
If Prometheus is an actual star, Kuzan's F***ED.
Our sun has an an average surface temp of 5800 degrees Kelvin. That's a little under 10000 Fahrenheit. Magma's between 1300 and 2400 degrees. That means Kuzan can survive and even combat over 2000 F. But if he wants to definitively take out Big Mom's best weapon against him, he'd need to freeze the core.
That's not gonna happen. The core of our sun hits 27 MILLION Fahrenheit. Unless he can somehow break physics and operate at to absolute zero, he realistically can't win, assuming Big Mom has an actual star under her command.
If she doesn't, then I'd call it a toss-up.
And BTW this is just a Manga. Not real life.
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