Well, the rosary isn’t just the Hail Mary. It includes the Apostles Creed, the Our Father, and the Glory Be as well along with the Hail Holy Queen at the end. And one meditates on the mysteries of the Rosary which are all Jesus-centered.
While it is a pious practice, it is not a requirement. If you feel uncomfortable praying the Hail Mary (even the first part which is directly from Scripture, Luke Chapter 2, Hail full of grace the Lord is with thee. . .(the Angel Gabriel) and Elizabeth’s speech, “Blessed art thou among women and blessed is the fruit of thy womb, Jesus”), you won’t be forced into it. But if you’d like my advice as a cradle Catholic, if you don’t want to pray the rosary per se, at least think about praying with the devotions of the mysteries. . .For example, just use the Joyful mysteries, thinking about the annunciation, the visitation, the nativity, the presentation, and the finding of Jesus in the temple (all scriptural) and instead of saying 10 Hail Marys with an Our Father and a Glory Be, say an Our Father, or 5 of them, or 10 of them. Or Say the Jesus prayer. Just thinking about Jesus in the joyful mysteries above, you may become more comfortable thinking about Mary, get more familiar with the early part of the prayer, or the Magnificat (My Soul proclaims the glory of the Lord) and gradually be comfortable enough to try a Hail Mary or too. But don’t push yourself, say the prayers YOU are comfortable with. Jesus is Mary’s Son and she will be thrilled with prayer to Him, as she always is, whether that prayer includes the rosary or not.