What would someone's unofficial support of another be called? [closed]

Solution 1:

Unwitting beneficiary, unwitting conspirator, unwitting partner.

Unwitting (definition 2)

not knowing; unaware; ignorant; oblivious; unconscious:

Solution 2:

In your scenario, answering the question posed in the title, I think Putin could be called the silent benefactor, anonymous donor or secret admirer.

Perhaps we could call Trump the unknowing beneficiary or natural ally.