In fact, depending upon the REASON your eye is uncorrectable, it may actually be fairly easy for you to get a SODA (statement of Demonstrated Ability) for uncorrectable visual acuity in one eye. For that matter, there are a fair number of SODAs out there for monocular pilots:
https://www.faa.gov/about/office_org...h/et/31-34/mv/
An excerpt:
Exam Techniques and Criteria for Qualification
Items 31-34. Eye - Monocular Vision
An applicant will be considered monocular when there is only one eye or when the best corrected distant visual acuity in the poorer eye is no better than 20/200. An individual with one eye, or effective visual acuity equivalent to monocular, may be considered for medical certification, any class, through the special issuance section of part 67 (14 CFR 67.401).
In amblyopia ex anopsia, the visual acuity loss is simply recorded in
Item 50 of FAA Form 8500-8, and visual standards are applied as usual. If the standards are not met, a Report of Eye Evaluation, FAA Form 8500-7, should be submitted for consideration.
Although it has been repeatedly demonstrated that binocular vision is not a prerequisite for flying, some aspects of depth perception, either by stereopsis or by monocular cues, are necessary. It takes time for the monocular airman to develop the techniques to interpret the monocular cues that substitute for stereopsis; such as, the interposition of objects, convergence, geometrical perspective, distribution of light and shade, size of known objects, aerial perspective, and motion parallax.