I would pronounce it as Ee-VIE-lah. Since Ivayla is not an English name, this seems most natural to me.
Generally people (apart from English) pronounce "I" as "Ee".
"You sought a flower and found a fruit. You sought a spring and found a sea. You sought a woman and found a soul. You are disappointed."
"It does not become me to make myself smaller than I am." (
Edith Södergran 1891-1923)