It is the Clinton Health Access Initiative which does this. It is a separate entity and has been since 2010. This entity is currently working towards removing "clinton" from their name.
They are also annoyed with the claims that it is the Clinton foundation which is giving money to AIDS drugs. The CHAI management memo has been leaked with interesting quotes such as
Further, the line between CHAI and the Clinton Foundation is often blurred by the Foundation, creating ambiguity about our independence as an organization that is separately funded. CHAI is often portrayed by the Clinton Foundation as an initiative of the Foundation. The Clinton Foundation uses CHAI accomplishments in its publicity and fundraising events even though CHAI does not receive funds from these efforts
and
We are very concerned about cases where we meet Clinton Foundation donors who believe that they have given money to support CHAI's work because they have donated to the Clinton Foundation, when in reality CHAI does not receive the funds.
and
The Clinton family has spent considerable time in public efforts to promote and raise funds for the Clinton Foundation in the past few years. In Contrast, CHAI management raises almost all the money for CHAI without the involvement of the Clinton family.
To put the long story short the Clinton foundation with it's millions of dollars from ISIS supporting states like Qatar and Saudi and all it's bank donations is not buying AIDS drugs. CHAI is and CHAI wants to distance its self from the clinton foundation and the management is not happy about the clinton foundation taking credit for CHAI accomplishments.
The CHAI donor list is available online you will not see Saudi or Qatar on there or banks or media companies unlike the clinton foundation donor list which is mostly those.