Answer: B. My professor, Dr. Janet Higgins, just won an important prize.
Explanation: When constructing sentences, we typically ensure they are correctly capitalized. In the given sentence, the "m" in "My" is capitalized because it begins the sentence. The "d" in "Dr." is capitalized correctly because titles that describe people (such as Doctor, Mister, or Miss/Misses) are conventionally used in uppercase letters. Finally, the "J" in "Janet" and "H" in Higgins" both resemble the beginning of the professor's name. Therefore, the only accurate option is choice B.