Char the red pepper over an open flame, or under the broiler until well blackened. Place in a paper bag and close. Allow to rest for 20 minutes. Remove and peel off the outer skin and discard stem and seeds. Cut into medium dice and add to the serving bowl.
Add the peas, goat cheese, shallot, olive oil, vinegar, red pepper flakes and salt and pepper and toss gently to combine. Serve immediately at room temperature.