Student Loan Fairness Consolidation Act of 2003 - Amends the Higher Education Act of 1965 to revise student aid requirements for Federal consolidation loans under the Federal Family Education Loan program, and establish parallel requirements under a Federal Direct Consolidation Loan program, to: (1) allow borrowers to refinance existing consolidation loans; and (2) make available variable interest rate consolidation loans. Excludes consolidation loans for repaying Federal PLUS loans (taken out by parents of students) from such provisions for refinancing and variable interest rates.