It is not right to give zakah to a Sayyid. If one gives his zakah to a Sayyid his zakah shall not be paid. Yes, it is right to give this amount to his wife who is not Sayyid, provided she is not owing wealth equal to nisab. But it is makrooh to give zakah amount at one time more than zakah nisab. Hence due to such need you can adopt this method that you give the amount to the wife of Sayyid as debt and then the trust should repay that debt on her behalf.
Allah (Subhana Wa Ta’ala) knows Best
Darul Uloom Deoband