You are entitled to a public defender if indigent, as I am sure Burglary is a felony, not that misdemeanors are not eligible though.
A few legal questions:
1. What was your "justification" to even approach the home in the first place.
Absent any specific facts to think she was a victim at THAT time, a court will not give the defense any weight that you even walked up to the door.
2. When you arrived, justified or not, was she being beaten at THAT time??

