It would still be important to me, but not the end all.
As it is, pre-everything, many people think I am male. In the past, this irritated me. Not because I had something against males, but because it was just inconvenient. I had to tell them 'no, I am a girl' to get in the proper bathroom, or to get in the correct dressing room.
So, when I present as female, which I biologically am, I often don't pass. Such is life. It never was insulting to me, not even when I had no idea I might be transsexual. (Now I know why I was never insulted

).
But when I present as male, I'd like to be seen as male. Why? I think most of it is that I have put time and effort in looking male. I think, that somewhere in the recesses of my mind, I feel it is inconsiderate of that time and effort to think of me as female.
On the other hand I have had ample experience with being thought of as the other gender, so I hope I would just shrug it off, as I did in the past.