Senior Elder Care Relief and Empowerment (SECURE) Act - Amends the Internal Revenue Code to allow a nonrefundable income tax credit for 50 percent of expenses exceeding $1,000 that are incurred for the care of chronically ill individuals who have attained normal retirement age (as determined under the Social Security Act). Allows the credit for certain long-term care services, respite care, or adult day care, but disqualifies expenses that are compensated by insurance or paid to a nursing facility.