I am a Phd student who has recently tried to initiate a collaboration on a paper with a professor to a university unrelated to mine.
I have already collaborated successfully with this professor a few years before but the collaboration was textual via email. The professor now wants to see me via a video call saying that video collaborations are far more time efficient than textual ones which is probably true. I wish to avoid meeting him via a video call because I am depressed and I fear that he may decide to not collaborate with me which will hit me much harder emotionally than not wanting to collaborate because I reject his video meeting invitations.
The consequences to our relationship after he sees me may also be more permanent than those of not seeing me at all.
Some of the commenters seem to be assuming that my fears are irrational but this isn't likely the case. Face and facial expressions during communication convey a plethora of clues about the mental state and character of someone and these don't necessarily contribute positively to the perception of the person. Without these clues people's perception of someone can differ significantly.
What can I do?