Hylomorphism is the philosophical thesis that posits "every physical object is a compound of matter and form" (SEP). By "matter" (hyle), Aristotle potentially denotes the structural material of X (a concrete particular). On the other hand, "form" (morphe) signifies what X is: the essence or substance of X. To use a hackneyed example, wood might be a chair's matter but its form would be chairness. A tree is material--its treeness presumably is not.
Philosophers normally trace hylomorphism back to Aristotle, but in this brief discussion, my comments about hylomorphic entities will be confined to the metaphysical framework of John Duns Scotus (1266-1308 CE), who built on Aristotle's work like many other philosophers and theologians did.
Scotus denies "universal hylomorphism," which maintained: "all substances except God were composed of matter and form, whereas God is entirely immaterial."
It is common to find God portrayed as the being, who is pure form (without matter) and thus simple, that is, God is supposed to have no spatiotemporal parts. He is thus purportedly non-spatial and timeless--existing completely outside of space and time. That is the basic claim of classical theology. So while finite beings may be constituted of form and matter, since Scotus' theology is classically conditioned, he would not say that God is a hylomorphic compound. Nevertheless, by denying universal hylomorphism, Scotus would also insist that material entities have more than one form. According to Thomas Ward, "the Subtle Doctor" contends that material things have a number of substantial forms. Furthermore, what about angels? Would Scotus believe they are pure form with no matter?
See https://plato.stanford.edu/entries/binarium/#1.1
Compare John Duns Scotus on Parts, Wholes, and Hylomorphism by Thomas M. Ward (pages 76-77).
Notice the thoughts expressed here: http://lyfaber.blogspot.com/2007/11/scotus-and-universal-hylomorphism.html
Source of Duns Scotus Image: https://upload.wikimedia.org/wikipedia/commons/thumb/7/73/John_Duns_Scotus_-_geograph.org.uk_-_1178460.jpg/220px-John_Duns_Scotus_-_geograph.org.uk_-_1178460.jpg
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