Does divorcing my wife constitute an injustice to her, and will it incur God's wrath, especially since she claims I wronged her and invokes [God's judgment] against me?

The husband's divorce of his wife is not considered an injustice to her, especially if it is due to her bad character. A hadith has been narrated to this effect. If he has not wronged her in her rights, then there is no sin upon him for divorcing her. As for her supplication against him, it is hoped that it will not be answered because it is a supplication made without just cause, and among the conditions for a supplication to be answered is that it should not involve sin or the severing of family ties.