Is there anything I can do to make sure my eyebrow isn't permanently raised and asymmetric? (photo)

AS long as you didn't lose any skin and muscle with the accident you should be fine.  Initially the brow will appear elevated due to the swelling.  As that subsides it will fall and should be close to where it was pre accident.    

As long as there was no significant loss of full thickness tissue above (or below) the brow, post-traumatic swelling can cause all sorts of facial distortion! If there is swelling, the upper lid or brow will be in a position that will give you asymmetry. The nerve can be traumatized (usually temporarily), resulting in asymmetry. The wise thing would be to ice the area and allow the swelling to settle. Nothing needs to be done urgently and there is no intervention or treatment needed. If you were to see a cosmetic surgeon, I would hope that the surgeon would treat you conservatively until all the swelling has settled. It is always wise to wait until there is no further change: often as long as several months. If you post in three months, I would predict that you will state "all is back to normal", without any intervention!Speedy recovery!Prof. Bhupendra C. K. Patel MD, FRCS

I believe the left eyebrow is raised since the left eye is swollen with droopier left upper eyelid, so the eyebrow is lifting as a compensation, meaning it would relax later and come down once the swelling is gone. See an oculoplastic specialist.