In a hurry to catch her train, (Jennifer's purse was left in her car.)
A. NO CHANGE
B. her purse was left in Jennifer's car.
C. and Jennifer left her purse in the car.
D. Jennifer spaced out and left her purse in the car.
D is correct because the noun being modified by In a hurry to catch her train, which is jennifer, needs to follow immediately after the comma. This happens only in choice D. The expression spaced out may be informal. However, the other choices are grammatically wrong, and informal is always preferable to wrong.
A is incorrect because although it looks at first as ifJennifer follows the comma, the noun phrasejenm'fer's purse actually does. Jennifer was in a hurry, not her purse.
B is incorrect because Jennifer was in a hurry, not her purse. So Jennifer needs to follow the comma.
C is incorrect because this results in a sentence where two dependent groups of words are separated by a comma, with no independent clause.