Within the blink of an eye, you have stopped running and are about 12 feet away from the subject. He is now aiming the semi-automatic pistol at you. You stand there, with no cover, no concealment and no gun in your hand. Remember, this was only for a misdemeanor arrest warrant.
Time often seems to slow down during these incidents. You can see the subject and you can clearly see the barrel of the gun. He is aiming the gun directly at your chest. You can see the woman and she is not saying anything or attempting to move. She doesn't even look scared.
You start to think about engaging the subject in a gun battle. He has the drop on you, and you think about how many rounds you can take before you get a shot off. Do you continue to close on the subject, even though you are at a dead stop? You notice the two are standing right in front of a screen door on a rear porch and you cannot see what is behind it.
By now the older man has started to say something to the subject holding the gun. He hasn't moved, but is yelling at the gang member. You can feel the pressure of the situation mounting. The rest of the team will round the corner in a second, you are standing in front of a hostage, there is another potential victim (old man) standing right next to the armed subject, you have a gun pointed directly at you, and you're standing in the open with no gun in your hand. Right now you have to make a decision and make it quickly. All these thoughts occur within a second. During that second you are not moving, but your brain is going faster than a Pentium IV 1.5GHz microprocessor.
You decide to retreat behind the wall toward cover and concealment. Instinctively, you turn and run back toward the corner of the house, at the same time removing your weapon from its holster. As you turn the corner, you warn the other team members.