I have recently uploaded a new application to iTunes Connect for the approval process. Its version is 1.0. Today the binary was rejected and the following was mentioned in t
You typically get this kind of rejection when you submit an app that has some known brand in the name of the app, icon, inside the app or in the metadata. For example, if your company is "Milkshakes Ltd." and you use "Nike" brand in the name of your app "Milkshakes - Nike Edition".
This typically happens when a company asks you - the developer - to create and app for them and you are trying to release the app under your developer account. But the app needs to be released under the company developer account (the company needs to enroll Apple Developer Program if it has not yet done so). That is why Apple advises the following:
If you have developed these apps on behalf of a client, please advise your client to add you to the development team of their Apple Developer account.
Releasing apps under a different account is against Apple Developer Program License Agreement:
For the sake of clarity, You may authorize contractors to develop Applications on Your behalf, but any such Applications must be owned by You, submitted under Your own developer account, and distributed as Applications only as expressly permitted herein. You are responsible to Apple for Your contractors’ activities under Your account (e.g., adding them to Your team to perform development work for You) and their compliance with this Agreement. Any actions undertaken by Your contractors arising out of this Agreement shall be deemed to have been taken by You, and You (in addition to Your contractors) shall be responsible to Apple for all such actions.
However, based on your description, it does not look this is your case. I don't know about any well known "Secured" or "Safe" brands. You did not write your company name, there might be a conflict too. I would try to clarify the issue with Apple Review Team by responding to the issue in Resolution Center. They might point you to the brand you are in conflict with. Or it might have been rejected by a mistake.