i don't think that there is anything wrong with emailing or feeling hurt / upset / panicky / sad that your therapist hasn't responded.

i do think that you should try and talk to your therapist about how you feel, though.

that doesn't mean that she will email you... but those feelings (rejection? abandonment? neglect?) are coming from somewhere. and... isn't feeling those feelings and talking about those feelings and processing those feelings with your therapist just what therapy is supposed to be about?

sounds like progress that you feel that way to me...