If I lent someone my car and she hit a curve and caused $11,000 in damages, can I sue them for the repair costs?

Question Details: I lent my car to a friend and she ran into the curb causing extensive damages. When I asked her what happened, she stated she wasn't paying attention she was trying to turn up the radio. When the accident first happened, she said she would pay for the damages out of her pocket. Now she is refusing to pay. I have a text message from her agreeing to pay for the damages.

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