I would treat these two like roommates, since they have no history of living together.
Some state has specific laws about roommates. You need to learn what those laws are. For one, you must consider combined income as your level to qualify on income.
I have it in my written criteria that if one applicant fails the screening, the whole group is rejected.
Maybe you can reject because one has no landlord references. I would reject because one has no income, but you can't do that in California if the other has enough to cover the rent.
Students don't have jobs, but they have income from somewhere, otherwise, they couldn't be going to school.
See about a parent co-signer for the student.
First time living together in a romantic relationship is pretty iffy. They may quickly decide that they don't actually like each other.
If you think the one with the good credit is fronting for the other and doesn't intend to live there, make sure he knows that he will be on the lease and you will go after him for all rent and all damages, whether he lives there are not.