Is a blood clot in the leg rare from child birth? i gave birth naturally. frightened of this happening to me

Not rare/preventable: Blood clotting occurs from long periods of inactivity unless the legs are exercised or wrapped with clot preventing stockings or devices which can prevent this malady during childbirth, C/section, or post-partum.

Not rare: First congratulations! Sorry that you're experiencing this. The good news: blood clots are fairly easy to treat. In general, people have a 1 in 10,000 risk of getting a blood clot. During pregnancy, that risk goes up to 8-10 in 10,000 people mostly due to the hormones in pregnancy, and swelling in your legs. For perspective, some birth control have a 4-6 in 10,000 risk. Good luck, enjoy the baby