There's no way to view a Twitter user's protected tweets, unless you have followed them and they've approved you as a follower. The only other way around this, would be to use someone else's Twitter account (Someone who's their follower, and of course with consent) to view the protected tweets.

Using an instance of Nitter (hosted on a VPS for example), you can browse Twitter without JavaScript while retaining your privacy. In addition to respecting your privacy, Nitter is on average around 15 times lighter than Twitter, and in most cases serves pages faster (eg. timelines load 2-4x faster).