I didn't try it myself, but I believe you can do it using dconf-editor.
Go to org > cinnamon and find enabled-applets.
Try changing 'panel1:left:1:email@example.com'
LMK if it works
on my panel I have panel 1 and 2, with panel one the top panel. I haven't tried it with the left side yet, but on the right side ('panel2:right:1)the larger the numeral is after 'right:' the farther right it's positioned my clock switcher, since to is the farthest on the right, is numeral 7.
Hopfully it gives you a better idea of what's going on.
EDIT: OK, just checked my dconf looks like the lesser numeral is the farthest to the left after (panel2;left:) so 0 will be the farthest left.