Christianity Today has a statement from the Church of Uganda regarding what they like and what they don’t like about the bill.
Actually, the only thing they want to change is the reporting requirement. They want to
Ensure that the law protects the confidentiality of medical, pastoral and counseling relationships, including those that disclose homosexual practice in accordance with the relevant professional codes of ethics.
Other than that, they want to make it more clear that homosexuality is against the law. The CT piece mentions a longer document but gives no link to it. If I can find it, I will post that as well. For opponents of the bill, this is not encouraging.