How Long Will It Take to Heal from Hematoma Resulting from Juvederm Injections to the Tear Trough?

Don't be horrified. This will resolve in a couple of weeks. Going to the bone was the correct thing to do and hitting a vessel can happen to the best of us. I have never seen staining to this area from leakage of blood from a procedure. 

Unfortunately a hematoma or deep bruise is a possibility with injection of any filler around the eyes. Typically the bruise will last 2-3 weeks, although it will look much better by 7-10 days, and you can try to cover up as best you can in the meantime.

The bruising is a more common side effect under the eye. This could take 1-2 weeks to fully disappear as well as the swelling that you've experienced. You can cover it up with makeup and use some homeopathic arnica to reduce bruising and swelling. Staining is not something to worry about and mostly occurs on the body if you are prone to this problem.