Has your daughter completed enough social studies credits to meet her high school’s graduation requirements? If not, she should take AP Psychology. Psychology is a social science. Art history is a fine arts course.
If she has met the high school’s requirements and also the recommended number of social studies credits for her colleges of interest, she should take the elective that most interests her.
Not required for graduation per se. but she is trying to get 4 yrs of social sciences and show interest for business major . She has lot of musical interests and doing art history AP might show a story for colleges about her interests in the art. But I am reading that AP psychology is better for life and for business major tha AP art history. she has 5 more credits to take so has she 2 non honors business classes that she could take.
Having taken ap art history and intro psych, i would say go with ap art history, for life enrichment
Reiterating the importance of knowing how the class is taught at your school. For one of the Collegekids AP Art History was superb- really interesting, really happy- but also a really big time suck, and very rigorous. At a different school the class was seen as an ‘easy A’.
None of the configurations mentioned is going to be a + or - from a college admissions pov
That is a complete nonsense. Either can be good for life and either can be good for business- because you can learn about yourself and different ways of seeing the world in either.
She should take the one that SHE finds most interesting- b/c she likes the subject, b/c she likes the teacher, b/c she thinks she has the best odds of being successful in the class.
tl;dr- y’all are way over thinking this.
Thank you for the honest blunt reply 
History is not my daughter’s strongest subject although she likes art so not sure if she will get a good grade in senior year… It is a gamble. AP psychology may be a more practical choice.
Tell her to trust herself, and make the best choice for herself, in the here & now. Not every choice has to be made with an eye to the future - and this is one where it really won’t be objectively materially better to go one way or the other. Think of this as the HS equivalent of asking a pre-schooler if they would like apple juice or orange juice- it’s practicing making decisions in a low-stakes situation. Next year she will have to pick a college from among her acceptances……