Convicted in County Court for Domestic Battery, want to appeal in Appellate Court, what will happen to my Immigration Status?

I'm a Conditional Green Card Holder (living in US for less than 2 Years), this is my First Offence and there is No History of any other Convictions/Arrests at all. I want to appeal my County Court Domestic Battery Conviction in an Appellate Court and want to know: 1) Will ICE wait till I get a final decision from Appellate Court? or they will Detain and Deport me right away? 2) If I will be found Not Guilty by the Appellate Court, will it make me Non-Deportable for this Domestic Battery offence? or ICE will still go by the County Court Conviction? 3) If ICE Deports me before I get a final decision from Appellate Court, and later on if I'm' found Not Guilty, will it be possible for me to enter legally in USA again?