Surgery may or may not be required but it is important that you get a ptosis(drooping of eye lids) work-up done. Treatment depends upon that. If it's mechanical ptosis then it may be possible to treat it with just drops and ointment. If only surgery is possible then you can always decline.You need to see an oculoplastoc surgeon for this. To read more about this, you can follow this link - http://en.wikipedia.org/wiki/Ptosis_(eyelid). Thanks and best wishes.
Ptosis surgery requires cutting but do not be scared. You can always deny it. Ointment could be anti-biotic or a combination of anti-biotic plus steroid. You need to see an ophthalmologist for examination for an accurate diagnosis. The answer to your second question is that it is not dangerous. If you do not have headaches or any head posturing it's fine. Thanks.