Although some people do successfully survive without an Amygdala, it definitely is not advisable for anyone to seek out removing it, unfortunately. Amygdala-less humans suffer from all sorts of bizarre mental struggles, such as:
Difficulty generating memories
Extreme hypersexual behavior
Extremely dangerous overeating
Extreme Docility (fail to protect or defend themselves)
Visual Agnosia (failure to recognize objects)
Luckily, if extreme social anxiety is the reason you desire some self-lobotomizing, there are less-deadly alternatives that work very well, which I can attest to.
For a few years I pretty much never left my house whatsoever, and if I did something as simple as step into my own front yard it felt as though my heart was going to explode, which was very strange considering what an outgoing person I was prior to developing an anxiety disorder. It really can happen to anyone. Extreme anxiety is (in my experience) the single most painful challenge one can overcome in life, but after about a year and a half of self-inflicted "exposure therapy" I now feel (almost) completely at ease no matter where I am or what I am doing.
Life becomes much, much less difficult after beating an AD. The previous poster is absolutely right: all it takes is a single step at a time. A tiny crumb of progress every day is all you need. Unfortunately there are no good ways of fixing your own mind in a very short period of time, but most people I've talked to about this topic were surprised by how little time it took for them to successfully treat their anxiety when compared to the years and years they forced their way through it. Looking back, I almost cannot believe the things I used to do to avoid public spaces. Anxiety is a nightmare.
Best of luck.