Answer:
The problem that is given by this sentence is mainly word organization, the way that the words are ordered in the sentence make it seem like there is a grammatical error, when in truth, it can be better expressed by organizing words.
Thus, the sentence should read as follows: His lawyer suddenly interrupted my thoughts by busting out questions.
This is so because the last clause, after the use of "by" tends to explain the reason why the thoughts of the speaker in the sentence were interrupted by the sudden questions being busted out by the lawyer. By organizing the clause, with the pronoun first, and then the explanatory clause, we can understand then why the person´s thoughts were interrupted, without having to alter the sentence grammatically or verbally.