I’ll make two points that serve to give us grounds for strongly doubting this argument.

1. Arguments from silence, especially in regard to the Biblical text or other ancient texts, fail because they don’t realize that the author has very specific intentions when he is writing, and certain events may be left out because the author doesn’t see the relevance in the event. One could counter this by saying the author of Acts would most certainly want to record debates over the Trinity, but that’s not something that can be proven. It’s just an assertion. One could also argue that he did record it, but the documents have been lost to history. Either way, it’s an argument from silence.
2. Regardless of the lack of specific mentions of Trinity debates, there are mentions of disputes between the Jews and Christians. It’s entirely possible that these debates included trinitarian debates. Along with that, Luke does record the Pharisees objection to Jesus when they say he “makes himself to be God”.

I’ll make two points that serve to give us grounds for strongly doubting this argument.

1. Arguments from silence, especially in regard to the Biblical text or other ancient texts, fail because they don’t realize that the author has very specific intentions when he is writing, and certain events may be left out because the author doesn’t see the relevance in the event. One could counter this by saying the author of Acts would most certainly want to record debates over the Trinity, but that’s not something that can be proven. It’s just an assertion. One could also argue that he did record it, but the documents have been lost to history. Either way, it’s an argument from silence.
2. Regardless of the lack of specific mentions of Trinity debates, there are mentions of disputes between the Jews and Christians. It’s entirely possible that these debates included trinitarian debates. Along with that, Luke does record the Pharisees objection to Jesus when they say he “makes himself to be God”.

APPENDIX ADDITION:

Earliest Criticisms by the Roman Government.

To call into further question the idea that this was not a criticism of the early church, I cite Pliny the younger, writing in the early second century, who is our earliest primary source of criticism of the Christians.

Pliny then details the practices of Christians (sections 7–10): he says that they meet on a certain day before light where they gather and sing hymns to Christ as to a god. From Wikipedia

“Singing to Christ as to a god” is clearly indicative of an early deification of Christ by the church.

Much of the counterpoints have already been made in the comments. Allow me to make a few points.

1. Arguments from silence, especially in regard to the Biblical text or other ancient texts, fail because they don’t realize that the author has very specific intentions when he is writing, and certain events may be left out because the author doesn’t see the relevance in the event. One could counter this by saying the author of Acts would most certainly want to record debates over the Trinity, but that’s not something that can be proven. It’s just an assertion. One could also argue that he did record it, but the documents have been lost to history. Either way, it’s an argument from silence.
2. Regardless of the lack of specific mentions of Trinity debates, there are mentions of disputes between the Jews and Christians. It’s entirely possible that these debates included trinitarian debates. Along with that, Luke does record the Pharisees objection to Jesus when they say he “makes himself to be God”.

I’ll make two points that serve to give us grounds for strongly doubting this argument.

1. Arguments from silence, especially in regard to the Biblical text or other ancient texts, fail because they don’t realize that the author has very specific intentions when he is writing, and certain events may be left out because the author doesn’t see the relevance in the event. One could counter this by saying the author of Acts would most certainly want to record debates over the Trinity, but that’s not something that can be proven. It’s just an assertion. One could also argue that he did record it, but the documents have been lost to history. Either way, it’s an argument from silence.
2. Regardless of the lack of specific mentions of Trinity debates, there are mentions of disputes between the Jews and Christians. It’s entirely possible that these debates included trinitarian debates. Along with that, Luke does record the Pharisees objection to Jesus when they say he “makes himself to be God”.