Connately is an uncommon word, and finding synonyms for it is rather tricky. It means "inherently or naturally existing," and some words that reflect that meaning are "innately," "intrinsically," or "instinctively." Another closely related term is "congenitally," which refers to a trait or condition that a person is born with. Alternatively, one could use words like "permanently" or "inextricably" to emphasize the persistent nature of something that is connately present. While there might not be many direct synonyms, there are plenty of other words that could be used as alternative expressions to convey the same concept.