I was searching for a suitable word for a piece of writing composed for speaking high of a pious man, such as a saint. I found one: encomium. Can we use the word 'encomium' for a piece of poetic writing praising a saint?
The word means a piece of writing that uncritically praises or glorifies someone or something. You could use it for a poem to praise or glorify a saint.
But be aware that this is an extremely rare word. Most native speakers (including me) will not know what it means, and would have to look it up in a dictionary.