Something like this happened to my sister-in-law a few years back in Garden City, MI. I got a frantic call from her in the wee hours of the morning. Seems some crack head (she had never seen this person before) was trying to kick in her front door! Fortunately for her it was a steel door with a stout frame and strong bolt. I told her to dial 911. She said she had and they told her "no units were available and to call back if he got in"...wtf! I got there 15min later & bad guy had taken off. My sister-in-law had the good sense to hit the panic alarm on her car in the street, which seemed to scare the freak away after five minutes or so and neighbors turning on their lights.
The really sad thing - she lived roughly 3 blocks from the police station! They never came. She and I went out shortly afterwards and I helped her learn to shoot her newly bought 12 gauge shot gun. Up until that point she was anti gun. Now she carries a pistol daily.