Do Catholics believe you must worship Mary?

No. Catholics don’t believe Mary must be worshipped. It would be against what Mary stood for. (John 2:5) Catholics as imitators of their Saviour Jesus Christ follow the examples of Jesus who obeyed His heavenly Father and earthly mother. (Ephesians 5:1, 1 Corinthians 11:1, Matthew 15:4, Mark 7:10, Ephesians 6:2) Catholics honour or respect Mary as the mother of their Lord Jesus Christ. Mary herself foretold in the Bible that all generations shall call her blessed. (Luke 1:48)

References:

His mother said to the servants, “Do whatever he tells you.” (John 2:5)

Therefore be imitators of God, as beloved children. (Ephesians 5:1)

Be imitators of me, as I am of Christ. (1 Corinthians 11:1)

For God commanded, ‘Honor your father and your mother,’ and, ‘He who speaks evil of father or mother, let him surely die.’ (Matthew 15:4)

For Moses said, ‘Honor your father and your mother’; and, ‘He who speaks evil of father or mother, let him surely die’ (Mark 7:10)

“Honor your father and mother” (this is the first commandment with a promise) (Ephesians 6:2)

For he has regarded the low estate of his handmaiden. For behold, henceforth all generations will call me blessed. (Luke 1:48)

Godwin Delali Adadzie