Hi Carol, congrats on your new "baby"! I have 2 besseaes and a few more with besseae in them. My species is in the middle of its first flowering and although the colour was really nice, the flower on a bessie species is I think quite small. They do have a rather "rude" habit of dropping a flower to us, quite quickly, no wilting or looking tired to give us a warning.
I am sure the next flowering your bessie does will be much nicer. Evidently if you can give them a little cooling time, the flower goes darker so that is what i have been trying on all my bessie both species and crosses plus an Paphs that like a cool night. This is a real challenge in an apartment!