"hesitant support" is a perfectly acceptable phrase in written English.
You can use it to refer to a type of support that is given only hesitantly, or with reluctance or doubt. For example, you could say: "The committee members offered their hesitant support for the new policy".
Dr Hannah Critchlow of Cambridge University has offered the most hesitant support yet for the possibility of humans becoming immortal through future technology, saying that she thinks it's a possibility we could make a motherboard advanced enough.
The patterns of hesitant support to evolution by the educators of prospective teachers, due to a deficient understanding of science and the evolutionary process, combined with high religiosity, are concerning since these educators are responsible for mentoring prospective teachers.
Many Kurds I spoke to while reporting recently from the Kurdish areas in the northeast of Syria expressed hesitant support of the FSA, cheering them in their fight against the regime but distrustful of their ties to Turkey, who has been waging a war of their own for nearly 30 years against a Kurdish insurrection.
Dergham: You have seen the people asking for change, and you supported them strongly in Egypt, but you are hesitant to support them in Syria?
Trump initially was also hesitant to support the move, which had the backing of the Pentagon and State Department.
On North Korea specifically, most Americans are hesitant to support preemptive military action.
Some senators who had been hesitant to support him said he had convinced them of his integrity.
Mr. Obama, who secured the Democratic nomination in June, was more hesitant, expressing support for continuing the moratorium.
Even some legal organizations that often champion the expression of religious beliefs are hesitant to support Mr. Paszkiewicz.
I often agree, and with the heavy heart of a man who has watched other men die, I'm far more hesitant to support military action these days.
Some are hesitant to support any bill that does not include a broad path to citizenship for more than just the younger immigrants.
