This will not affect your eligibility for
Federal Stafford Loans, as credit checks are not required for this type of loan. However, it may affect your eligibility for other types of student loans such as PLUS, or
private student loans.
The extent to which this may hinder approval for loans depends on the lender.
For PLUS loans, credit checks are minimal and it's possible your credit may be good enough otherwise. For private loans, each lender uses a different risk assessment formula to determine eligibility, so it really depends on how each weighs this credit issue. Keep in mind that for these types of loans, you can always apply with a cosigner to increase your chances of approval.
Hope this answers your question!