Do a deputy have the authority to prevent you from leaving your home and denying you the freedom to assemble to worship?

Deputy called cellphone around 7:15 asking about a toddler child. Deputy stated that the grandmother of the child reported that she didn't know if she had left the child home alone but that I (the child's Aunt) may have the child in other words the elderly grandmother couldn't remember if the child had been dropped off to me or left withher, she was in the hospital. I confirmed to the deputy over the phone that the child was with me and had been with me since 4:45 In the a.m when the child's mother had dropped him off. I also gave the deputy my name and address as well as my sisters name address and phone number. The deputy then stated she wanted to stop by the house to visibly see the child and I replied that I was headed out the door to a mandatory prayer time. The deputy threatned do not leave your residence or you will be charged with obstruction. The threat of being arrested caused me to miss prayer and was left fearful after deputy arrived 45 minutes later. Not enough characters