Hi doctor theoretically can anxiety be cured by removing the amygdala doing interesting research ?

No: In the brain, everything is connected to everything else. Removing one structure would never be enough. Furthermore, the amygdala is a survival center. You can't live without it. More than just anxiety goes through there. The last part of your question can't be answered because it's ungrammatical which makes its meaning difficult to understand.

Dealing with anxiety: In diseases in which the amygdala is destroyed, the poor victim becomes hyperaggressive and behaves bizarrely. Psychosurgery to remove the prefrontal lobes for anxiety belongs to a barbarous past era. Some fear is part of life and is healthy. If anxiety is making your life unmanageable, you can get help getting out of impossible situations and/or understanding patterns of thinking you can change.