Droopy eye, blurred vision, and eye twitching after Botox. Will this eventually resolve or do I need to seek intervention?

Botox like any other medication, occasionally can have side effects. Most of the time they are transient and tend to decrease over time, starting 3 weeks after the injection. Side effects may depend on the amount of units injected ( for migraine it is typically a lot of Botox),  injection site, technique but also patient health condition and following directions after the injection.
I suggest to see your doctor if symptoms are not starting to improve after 3 weeks or if they continue to get worse for more than 2 weeks after the injection.

Sorry to hear about your experience. One thing that we like, and hate, about Botox is that the affect always goes away. In this case of unwanted affects like yours, rest assured, these unwanted affects will resolve (but so will the wanted affects).  Sometimes we try an eye drop called "Lopidine", which may give temporary relief from the eye symptoms.  You will want to talk to your doctor to see if that is an option for you.