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No you can apply for it, Id say 700+ TU score should do the trick, when you apply for the MC if you don't qualify for it they will give you the store card.
Go into the store and apply. you wil be considered for the MC first just like online but online is a blackbox to me. Ive applied for synch cards online and get the 400 dollar store card and then went int the store and got the 5,000 Visa/MasterCard.
I agree on having a 700+ score but do it in store for best results.