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I am not sure whether there is any cut or not as I have not seen you. You may apply an anti-biotic ointment like Tetracycline for a few days. Also use a lubricating drop like Refresh Tears. I hope, it helps. Thanks.
Follow-up questions, if any, are welcome.
If there was a cut in the lid, it would have most likely healed on it's own. The body's immune system is capable of doing that. However, if it bothers you and you feel that a cut is still there on the lid you can apply tetracycline ointment at that place at bedtime. Thanks.
Yes, you may get it over the counter. You can discuss with the pharmacist. You can apply any anti-biotic eye ointment that you may get over the counter. Do not apply it for more than a week. Thanks.