The phrase "to add no burdens" means to not cause any additional problems or difficulties for someone.
Sentences with «to add no burdens»
The goal is to get her as much exposure as possible without adding the burden of intense media scrutiny, said the source familiar with the situation. (nypost.com)
«This is not about free tuition, it's about shifting costs and putting added burdens on people in the city,» one legislator said. (nypost.com)
These studies told nothing about a smoker's arteries, however; they could have meant merely that smoking imposes added burdens on the heart. (scientificamerican.com)