The Immigration Board has discretion to approve or reject an application (not in your favor). I have not yet seen a question on the PR application form which asks whether or not an applicant has been denied a visa in other countries (this is in your favor). However, the application does require that you obtain three character references and other supporting material. There is no guaranteed answer. However, I can say from experience that the board is fairly generous in welcoming applicants who apply for PR on the basis of independent means. Community involvement and character of an applicant are important.
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Could a previous U.K. visa denial impact my eligibility to apply for permanent residency of the Cayman Islands?
Three years ago, I was denied a U.K. tourist visa. I am not sure about the reason for the denial. Now I am considering participating in the residency-by-investment program of the Cayman Islands. However, since the Cayman Islands is a British Overseas Territory, I am worried that the previous visa denial could impact my eligibility for this program. Please advise.