choco is right. There's no need to put on a front when it comes
to best friends. Whilst it's kinda necessary in a way to do that
with casual acquaintances, best friends are in a different category
altogether.
If I were her, I'd rather my best friend be totally frank with me
and say something like, "I'd love to meet you, but I've been
feeling pretty down these days and don't really want to affect your
mood as well."
I would appreciate it more if a best friend were to be brutally
honest with me, then find out later that he/she had been putting on
some nice facade for me.