The prayers of the Rosary are all beautiful prayers.
It starts with the Apostle’s Creed, which some Protestants recite already. This is a list of the things we believe in as followers of Christ.
Then we say the Lord’s Prayer, again a scriptural prayer familiar to all Christians.
The Hail Mary is the one that some people get hung up on. It is a beautifully scriptural prayer asking our Mother to pray for us.
Hail Mary, full of Grace, the Lord is with you. (The words of Gabriel to Mary at the annunciation) Blessed are you among women and blessed is the fruit of your womb, Jesus. (The words of Elizabeth to Mary when she went to help her cousin) **Holy Mary, Mother of God, **(Her title and acknowlegement of her position as queen mother) pray for us sinners now and at the hour of our death. (A simple and direct request for her to bring our petitions to the attention of our Lord) Amen (I believe)
We know that Mary can pray for us because we just stated that we believe in life everlasting when we prayed the Creed. We know that Mary is alive forever in Heaven and that “the prayers of an honest man availeth much.”
We also pray the Glory Be. Glory be to the Father and to the Son and to the Holy Spirit as it was in the beginning, is now, and ever shall be, world without end. Amen. Another prayer that gives glory to the Three in One, the Godhead, for ever.
Many people add the Fatima prayer. Oh, my Jesus, forgive us our sins and lead all souls to Heaven, especially those in most need of your mercy. This one is another one that points straight to Jesus as the One who forgives sin and shows us the way to the Father.
None of these prayers are blasphemous. Reciting these prayers in love does not result in blasphemy, even for non-Catholics. I encourage you to say the Rosary when you feel prompted to do so. God will see your sincere desire to please Him and will welcome your efforts.