Your answer, "No", is not correct.
The correct answer to
Should you preach to the Gentiles?
is
Yes
as shown by
Acts 13:47
which is
- KJV
- For so hath the Lord commanded us, saying, I have set thee to be a light of the Gentiles, that thou shouldest be for salvation unto the ends of the earth.
- NIV
- For this is what the Lord has commanded us: "`I have made you {The Greek is singular.} a light for the Gentiles, that you {The Greek is singular.} may bring salvation to the ends of the earth.' {Isaiah 49:6}"