I am pretty sure I fucked it up but... here's a report

Older woman who is nice looking that I work with was conversing with me.

I hit her with how do you always look so good in the night when we call you to do xyz procedure (I'm in the medical field)

She answers and then asks asks me so do you have a girlfriend?

I say hmmm...

I then leave, and then she asks again.

I say yeah its complicated long distance thing. I don't want to invest too much into something like that.

Did I fuck up by explaining? Beta slip moment?