wrote out a long reply but got re-directed and lost it so cliffs:
1. most grad career paths are open to people with all sorts of degrees
2. employers hire employable people, not employable degrees.
3. you have to build a profile consisting of some or all of the following things to become an employable person: good grades, strong uni brand (depending on the career path), rigorous course (depending on the career path), leadership experience, work experience, extra curricular involvement, awards, projects (depending on the career path), strong written communication skills, a good attitude, initiative/bias to action, perseverance, good technical ability (if required for the job) and so on..
4. if you can successfully pull on most or all of those levers you'll be far more employable than the vast majority of university students (it's also quite interesting to note that more students at better unis tend to have those variables down more often hence the bias)
5. couple the above with a solid career exploration process where you:
a) figure out which graduate career paths exist beyond the obvious
b) figure out which of those aligns best with your interests, intended lifestyle and aptitude
c) figure out how to actually recruit for and obtain one of those careers, let that inform your choice of degree if you needs be
6. and hey presto, you're good to go
this stuff is not that hard and really should be hammered down more in school.
psychology is as good as any other degree, just bear in mind that you may need a backup plan (or a few) if you want to pursue it as a career because there are many more qualified/employable future psychologists than there are spots.