Applying for a credit card is like buying a lottery ticket, you really don't know what you're going to get. Chase just rejected my son for a card since they said his debt to income ratio was too high. Well, he has $229K in student loans and makes $54K as a resident. So I guess Chase must think most young physicians are a poor credit risk. And after he got rejected by Chase, he applied for a Capital One credit card and was instantly approved.
So it appears that applying for credit cards is like applying to medical school. Apply widely and just see what happens in regard to an acceptance.