Psychology is really competative at most places and leicester isnt any different in that sense. It is a big course however, and the uni as a whole are leinient so who know you may be ok.
Personally I dont know anyone who got those grades and got in as a typical offer is AAB- ABB but there may be some people who did. I dont really know or talk to many people on my course so dont have a wide knowledge in that respect.
I did a BTEC National diploma and As levels, and got DDDbb (If that makes no sense to you a BTEC is marked on distinctions, mertis or passes. A Distinction =120 points, so DDD= 3x 120, 360) My offer was DDM (equal to ABB)