U can enter the banking sector either through clerical route or through Probationary Officer (Scale -1) route by appearing for a competitive exam...The basic requirement for appearing for PO exam is graduation hence ur ca degree is not going to affect it...however it'll put effect in interview...as CA's generally dont appear at scale-1, ur attempts wont matter much their and ur CA degree will be in ur favour...
Now seperate exam for each bank is going to be abolished and in coming days a common bank exam will be introduced for all banks (except SBI & ASSOCIATES)..Keep a look for it, and do brush up ur GK, Maths, English & reasoning if u want to appear for it.
Besides above CA' s are directly recruited at Scale-2 as specialist officers, hence there ur degree will directly come into play as u will compete with professonals only...