Welcome, Mango. =)
Studying Applied Psych is going to give you an inroad to the heavy-lifting end of UX, which is both a competitive advantage as well as a funnel towards certain types of work. I personally think it's a great way to approach UX and wish we had more people with that background.
As is mentioned in those threads Hawk pointed you to, developing your general 'T-Shaped professional' UX skills (including visual UI and information architecture) and getting some practical experience will be the most productive things to work on. Your areas of speciality may well be a reason people might hire you, and your general experience and aptitude will be what sets you apart.
I'd encourage you to still go for some lightweight or personal projects that give you an end-to-end view of a whole project, as you'll connect the dots in your head and get some real-life practical principles in place early in your career that can be hard to get from working on larger projects.