"hesitate to include" is a correct and usable phrase in written English.
You can use it when you are unsure about or reluctant to include something in a written piece. For example, "I hesitated to include the details of the scandal for fear of offending readers."
"Haggadah and History" does not hesitate to include a few parodies and worse.
And what hope is there for education, if teachers hesitate to include titles that may cause offence?
He doesn't hesitate to include Dylan in his personal pantheon alongside Empson, Eliot, Beckett, Larkin, Lowell and Hill.
Ball did not hesitate to include his own ideas in his writings for the general public, even when these were at variance with conventional wisdom.
"Those guys, it might take them a little while to see their very, very best results, but they're certainly not doing so bad right now," said Isner, who didn't hesitate to include Sock, calling him "a very good player".
9. Automatic for the People: I hesitate to include this album.
This is the most harrowing of my choices, so much so that I hesitated to include it.
Van Gundy, never one to mince words, found it entertaining that the Knicks hesitated to include Timofey Mozgov, the rookie center from Russia, in the trade for Anthony and Billups.
In an email exchange with The Huffington Post, Greenwald said that he'd hesitated to include a section on suicide in his film.
We had hesitated to include quantification of photobleaching steps on a post-elution field of TERT complexes already imaged several times to quantify spot count per microscope field.
"We have said publicly, and we repeat it here today, that if the necessary progress is not made we will not hesitate to reconsider our options including eventually regulation," he said.
