Dude, Raymond Holt being gay is central to his character. He struggled up through the ranks of the NYPD as a openly gay black man and that fact routinely backs his actions where he uses that experience to choose fairer more equitable choices over petty or self interested ones. He regularly cites his sexuallity as being core to who he is. While it certainly doesn't encompass his entire personality because all of Brooklyn 99's characters contain layers and multitudes it is undeniably central to his theme.
He just doesn't present as a stereotypical gay character.