1. funding cuts for controlling infectious disease was not proposed, only for chronic self-imposed diseases like AIDS 2. even those cuts won't pass the House anyway
As The Washington Post explains, those funding cuts target the CDC’s chronic disease activities:
The budget request would trim funding for the Centers for Disease Control and Prevention by almost 16 percent. HHS officials said they want the CDC to focus on its core mission of preventing and controlling infectious diseases and on other emerging public health issues, such as opioid abuse.
Officials propose to take the money that would normally go to fund individual disease prevention activities and funnel it into a single block grant to states. The budget says chronic diseases such as heart disease, stroke and diabetes have common risk factors, and thus consolidating funds “can help magnify the public health impact.”
Although the budget reduces overall funding for global health, from $571 million to $532 million in 2021, officials carved out an extra $50 million for global health security, which are measures aimed at disease detection and emergencies. That bump comes at the expense of international HIV/AIDS programs, which is being cut by about $58 million.
2. even those cuts won't pass the House anyway
https://www.snopes.com/fact-check/trump-cut-cdc-budget/
https://www.washingtonpost.com/science/trump-budget-cuts-funding-for-health-science-environment-agencies/2020/02/10/9c8dd784-4c2d-11ea-b721-9f4cdc90bc1c_story.html