From your photo, you look like a good candidate for laser, you might want to consider doing that.
To your question, it all depends on you and the type and intensity of the electrolysis. In my case I have extremely sensitive skin and it wasn't until after 8 laser sessions that I would make any social plans the same day. My face looked like a grapefruit and was massively swollen despite copious amounts of anti-inflammatories. Same with electrolysis, it was quite obvious.
My current electrolygist is OLD school and uses thermolysis and I have had the most luck with that both in terms of outcome as well as irritation to the skin. If you must do it during work hours, my suggestion would to be to make sure they do not focus on a single area and treat with hydrocortisone cream, ice packs and ibuprofen or Tylenol afterwards.