The correct answer is: D. no article
The sentence "She has my jeep today" is a simple sentence with a subject (She), a verb (has), and an object (my jeep). The object is a specific jeep, so we do not need to use an article.
If we were to use an article, it would change the meaning of the sentence. For example, if we used "a" jeep, it would mean that she has any jeep, not necessarily your jeep. If we used "the" jeep, it would mean that she has a specific jeep that is known to both the speaker and the listener.
In this case, we do not need to use an article because the object is a specific jeep that is known to both the speaker and the listener.