Because the clinic encourages appointments, there is usually time to screen patient ______ their eligibility.

The question asks to fill in the blank with a word that fits grammatically and contextually. The sentence structure suggests a verb is needed to complete the phrase "screen patient ______ their eligibility". The most logical verb to use in this context, implying an action taken by the clinic regarding the patient's eligibility, is "for".

Ответ: for