Eye Infection from Botox Eye Droop?

It's hard to tell if this is inflammation or infection which can mimic each other. If you are not moving your eyelids, it is possible that you will develop a dry eye or be unable to blink or wash out foreign objects such as dust that can enter your eye in the normal course of the day.
This is similar to a wiper blade cleans a windshield. If it does not wipe completely across the window it will not clear the glass and dust will build up. Generally, this causes a watery discharge (inflammation) rather than a purulent (pus) discharge (bacterial infection).
Having said that it is best that you see your doctor to make sure it is not an infection which may require treatment.

Eyelid drooping (blepharoptosis) is an exceedingly rare result of botox injections. This complication is highly related to the injection technique and placement. Droop of the upper eyelid does not cause dryness or infection, in fact it makes the surface of the eye less dry. The clearance of tears from the eyes is not related to the muscle that causes eyelid droop (levator palbeprae muscle) but it is related to the eyelid closing muscle (orbicularis oculi) which can be affected if you had botox injected directly into the eyelid. Luckily, droopy lids always resolve when caused by botox, and this can take 6-12 weeks on average.
There are several eye drops commonly prescribed to counteract eyelid droop after botox. These include Apraclonidine (Iopidine), Bromonidine, and neosynephrine. These are prescribed by a physician. Any of these drops can cause a conjunctivitis by stimulating allergy or irritation.
However, eye infections or conjunctivitis can occur at any time, unrelated to other conditions. Examination by your doctor, or an ophthalmologist is warranted.

Without understanding more of your history it is difficult to be sure (for example have you ever had an eye infection before? What was the nature of the eye infection?).
When botox spreads to muscles that affect the lid there can be a problem with drooping. Typically this would mean that the lid muscles would not elevate the lid and one could argue that the mechanical wiping motion and flushing of the natural fluid over the eye into the tear ducts could cause some bacterial build-up. But the cause could just as easily be the application of eye drops or any number of other causes.
I hope it has improved and you have followed up with your treating physician.
Steven Williams, MD