"This bowl of hot and sour soup is too spicy!"
"Hot and sour soup" is typically what it's called in English. If you go to a Chinese buffet in England, at least, they will almost always have a cauldron of "hot and sour soup"
If you're not a native English speaker, it's also worth noting that "hot" is often used instead of the word "spicy".
Nope, the proper structure for an exclamation of "too + adv" is 太...了, and never 太...的。