I think this has real potential for a romance novel. You can tell that there will definitely be conflict between Vivian and Dr. Lawrence. You can practically feel the tension between the two of them.
I'd like to read a little bit more about how they became surgeons so young, especially in Vivian's case.
I hope you decide to continue it.
This is pretty solid, I like it so far. There are a few grammatical errors but nothing you wouldn't miss proofreading. I thought there was a little too much description in the start stating the female's beauty, only because you should keep the reader wondering why she is so pretty, and maybe they will find out why later in the story? Just food for thought. But overall good, keep on writing!