I wouldn't have thought it will affect your ability to catch the ball too much...
I broke my thumb a few years ago, mis-judged a skier at long off and it hit the end of my thumb. The real mistake came from the consultant at the local A&E (the real pain came as I had to pop it back in place!). He immobilised my thumb after he saw the X Ray (to my protests; I used to volunteer as a Sports Therapist). The problem is I'd only split the bone down to a point before the knuckle joint, so it didn't need immobilising. Cue the build up of scar tissue and several extremely painful trips to a physio for friction massage to break it down.
I would go and see a physio - don't go to your GP or hospital; generally they have no interest in sports injuries and treat them as such. A good physio will give you the right advice and treatment and will recommend a course of rehab for you as well.
Depending on the break you may have a few weeks out - in my experience the worst advice sports people want to hear is 'rest!' A break takes 4-6 weeks to heal, no matter how small; you may have to bite the bullet and let it heal properly...