For muslims, tattoos are not acceptable...so in Malaysia and Indonesia it may raise some eyebrows but will it impact your chances? I think it may depend on the subject matter of your tattoo. Hell's Angels type probably no. Heart shape with 'MOM'should be fine.
Having said that, the only person who will see you tattoo is the doctor and his input is usually in the form of a checklist.
If there is no specific question (either written or oral) I would not raise the issue.
If I were in your position I may choose to wear long sleeves for the first year or so! Later on if someone raises the issue you can say I've been here for xx years and no one has said anything so far!
HTH
Anil