It is unlikely that the dizziness and loss of balance is directly linked to the recent trauma sustained by your eye. Dizziness and balance usually occurs when there are problems with the inner ear. Patients with inflammation in the inner ear, such as when suffering from an ear infection, will often present with this complaint. Also, sinusitis can cause congestion in the inner ear and cause these symptoms.
There is a possibility that you experienced significant tearing and secretions from the eye where the trauma occured. These secretions will drain to your sinuses which will, in turn, cause sinus congestion and in some cases a sinus infection. Ultimately, this can lead to the symptoms you have described.
The best course to follow is to visit an ear nose and throat specialist (ENT). These doctors are trained in treating sinusitis and inner ear problems that cause dizziness and loss of balance. Often, the treatment consists of oral antibiotics and nasal decongestants. In some instances, drainage of the sinuses or ears is required for complete resolution.
I hope this is helpful and that you feel better soon...
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