That certainly is the question at hand, and Jim's been thinking about it for a while now with no answer.
Her subsequent questions are important ones too. "We're both in Starfleet. It's an interstellar exploratory organization - not really military, but about as risky." That seems the most important part to answer first, so she knows what footing he's on. "I don't know if it'd benefit me or not, but it wouldn't affect my command at all. My crew's lives are my priority, and some of them are my closest friends. Any decision I make affects them first."
no subject
Her subsequent questions are important ones too. "We're both in Starfleet. It's an interstellar exploratory organization - not really military, but about as risky." That seems the most important part to answer first, so she knows what footing he's on. "I don't know if it'd benefit me or not, but it wouldn't affect my command at all. My crew's lives are my priority, and some of them are my closest friends. Any decision I make affects them first."