What's the psychological issue name of fear of people?
The general symptoms (NOT the background scenario) may point to a psychological disorter called  social phobia :

Social anxiety disorder (SAD), also known as social phobia, is an
anxiety disorder characterized by a significant amount of fear in one
or more social situations, causing considerable distress and impaired
ability to function in at least some parts of daily life.
...
Physical symptoms often include excessive blushing, excess sweating, trembling, palpitations, and nausea. Stammering may be present, along with rapid speech.
...
The first line treatment for social anxiety disorder is cognitive
behavioral therapy (CBT) ... . The cognitive and behavioral components
seek  to change thought patterns and physical reactions to
anxiety-inducing
situations. ... . Prescribed medications include several
classes of antidepressants: selective serotonin reuptake inhibitors
(SSRIs), serotonin-norepinephrine reuptake inhibitors (SNRIs), and
monoamine oxidase inhibitors (MAOIs)
...
It is the most common anxiety disorder with up to 10% of people being affected at some point in their life