First time botox: left with deep new line from muscle recruitment/improper balance of botox. Don't want more injections, too scared. Is it permanent?

No not permanent. The effects of Botox usually last for around 3-4 months. An imbalance like this can usually be corrected by a small amount of additional botox in the area that needs it but if you just want to wait usually around 3 months would be the typical time for it to wear off.