I'm a QA engineer. I've been doing this job for more than 13 years.
I haven't finished uni, don't have a degree. I did go to university (Computer Sciences) but dropped out in my final year and never graduated.
I make around 2.5k euro in hand in an eastern EU country (which is a lot more than my peers with a Uni degree make in other fields of work in my country). To put that in perspective, if I had a degree, I'd make 600 Eu more because of tax exemptions. Last year I made around 9k/mo working as a contractor in another EU country.
Most jobs I applied for do ask for a degree, but will gladly accept you if you can provide relevant experience in the field. And I have plenty.
A friend of mine went to music school (got a music school degree, scholarship at Juilliard), played for big bands for many years, taught music, then decided to change his life after playing the violin for 20 years. I helped him with studying, preparing interviews and landing a starter job in the industry. Now he makes around 8k/mo as a contractor in Belgium.
My recipe: never stop learning. Always seek ways to improve yourself, study on your own (at least a couple hours a day) and you can pick up software testing as a profession. It's well paying and true specialists are hard to come by. Requirements to get in the field are low: you need patience, critical thinking, an analytical mind and good understanding of how software works, at least at an user level. Then sky is the limit. Just like any job, you can choose to specialise on a particular field of work, like security or usability and make a lot of money, or become a general practitioner and make a lot of money.
Another way to get your foot in the door for an interview is to get a certification like ISTQB foundations, which is trivial to get if you study their materials online.
I've rarely had to deal with customers, but part of my job is to be their advocate when software is developed, so I have to profile and know my users, to be able to be a good tester. So I have to empathise with them but not actually talk to them :D.
If you are interested, I'd recommend starting with Cem Kaner's "Black Box Software Testing" courses on youtube (search for TestingEducation channel) and then follow up with the ISTQB "dogma" materials (you can find the Software Testing Foundations course online in PDF format, or can enroll for the certification). They should be enough to land you a starter job as a Junior QA Engineer.
If you decide testing software is not enough for you, you can always advance to developing it, a lot of junior testers join companies and then become developers or sysops/etc.