If you are accepted for admission to a US university, they will educate you, but they are NOT obligated to provide you with a work visa, nor any guarantee of employment.
The US Immigration Service controls and deals with permission to work. As a non-US citizen, you won’t have permission to work outside of the campus and for less than 20 hours while you are on a student visa.
You are expected to return to your home country when you graduate since your visa will expire.
The US Immigration Service has very strict policies.
As a psychology major, there is no shortage of domestic applicants, so competition for clinical placement experiences will favor US applicants.
Your chances for admission to US schools, are already limited by your need for financial aid as well as your major, and your countries of origin.
Consider those European universities to continue an affordable path for your education.