I strongly encourage you to go to this site: http://basenjicompanions.com/
It has a lot of worthwhile info, and will answer many of your questions.
Basenjis are a pack animal, and once she has settled in with you as her "pack", she will count on you to be there for her happiness, and security.
First basenjis are tough to take care of at first. Many owners don't ever make it to a year, hence why you have her now. Stick it out. She will calm down in the next year, and she will hold a special place in your heart that is reserved for basenjis.
Good luck. If you're having any other behavior problems, you should ask about them here. We can probably name most of them off for you already(thief, food theif, trouble-maker when when ignored, bolts out the door, eats plastic, q-tips, underwear, gets angry when you leave, etc.)
We have proven tips for both correcting these traits, preventing them, and living with them.