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Well, the thing you should always remember about applying for credit cards is that your credit score isn't the only factor that comes into play when determining whether or not you are worthy of approval. However, your credit score is still very important in the overall decision. What you should keep in mind is that a retailer such as Woman Within is most likely not requiring every single one of their applicants to have a score of 800. But, on the other hand, no legitimate company is looking to deal with a score of 350. W would say as long as you have a fair enough credit score, you should try applying because your chances of approval are pretty good.