I absolutely HAVE to work the following day after my upper bleph. Is this going to compromise my healing?

First of all,  it is important to take some time for herself to heal. As long as there is no strenuous exercise or heavy lifting involved with your type of work, then a limited work schedule may be adequate if you're just sitting at a desk or doing computer work. Anticipate your eyes being tired for the first week after the surgery. For many examples of upper eyelids, please see link and video below

It really depends on what your work involves. If you are sitting quietly working on a computer you should be fine. On the other hand if you have to physically exert yourself this could compromise your healing. You don't want to pop any stitches and you want to avoid bruising as much as you can. Hope you can work it all out. Good luck.