In The Crucible, Arthur Miller conveys forgiveness against reputation through characterization.
I think that you will probably need to expand this out more and develop some stronger wording in the thesis statement. Given where it is, a few different directions can be taken on it. The first would be that the way the thesis statement is worded right now does not make forgiveness and reputation as elements that seem connected to one another. It seems to me that Proctor might be a good starting point here. Proctor recognizes that in order to achieve a true sense of forgiveness, he has to sacrifice his reputation. This forgiveness comes from Elizabeth, God, and more importantly in the drama, from himself. The only way that this happens is when he sheds all preconceived notions of maintaining his reputation. Interestingly enough, the concept of reputation is defined differently. The idea of a "social reputation" is something that Proctor rebukes for a more personalized notion of reputation. The idea of "the name" of which Proctor speaks in his final speech is something that defines reputation in a much more personal and subjective light. Miller might be suggesting that seeking a true sense of forgiveness is something that can only happen when one sheds their desire to maintain a social reputation and embrace a more personalized notion of reputation in defense of one's "name." This might be where there is connection between forgiveness and reputation, something that is merged when seeks to establish a more personalized notion of the latter and embrace the former.