I agree with Jacklyz. However, in your case, you and your wife are literally separated. If you claim your marriage status as "separate", your wife's income won't effect your credit application.
According to the family law, the legal implications of a marital separation may be regulated by a contract. A separation agreement is typically negotiated and drafted. It agrees to the division of property as well as child support, custody, and access. Parties can also enter into pre-nuptial contracts to regulate the economic consequences of a future marriage breakdown. If it is shown that one party had unfairly negotiated the agreement can be invalidated[/qu
Don't misled