Dear Apon Das , I would say it depends on how well you can justify to let it out. If you have good reasons to do so and can make them clear to your reader (or reviewer), I'd say, it's absolutely fine. However, just not mentioning a name will certainly be a no-go for many reviewers.

Good luck with your project!

I agree with Annika Hamachers but I scarcely can find any good reason for hiding the name of a newspaper in a content analysis. Newspaper content is supposed to be in the public domain in a certain sense (even if partial or full reproduction is not allowed by copyright laws). In addition the authority of a newspaper (as a relevant and reliable source) can be crucial for reviewers to assess the value of your research

based on what you just said, i guess it all comes down to whether the content you donwloaded is publicly available or not.

If you used a tool to donwload the data, such as Lexi nexi, i would also ask them what they advice, as i believe you are not the first researcher caught in this issue..

Good luck on your publication :)