I wouldn’t say she looked “nervous”, maybe more taken aback, she answered quickly with a big “yes” like she wanted to skip the question as fast as possible. The radio is what you said, she was asked about the pay inequality and she called David her “partner”. Then she said “if I was single and didn’t have children” on a written interview. It’s always annoying when things like that happen on paper because you can’t see her face, you can’t hear the way she said it, you can’t even be sure it’s her own words or the real phrasing. But by all means, I hope she meant David and I can’t see her calling PM her “partner” anyway.