Well, cyberware armor is unremovable, and unlikely to cause a fuss here. It might, however, cause you to have to sit in the car if you were meeting with a major CEO or politician, who might not be as trusting of armored characters walking around (if you have cyberware armor, you might have a cyberware weapon).
Normal armor- well, consider the standards the exact same as they are today in most of the 1st countries/states of the world, except Texas. Well, maybe a little Texas. You just don't walk into McDonalds wearing a flak vest. It's not socially acceptable on any level, and in all likelihood the security forces may get called, be it a rent-a-cop or the police. You just don't do it. Armor that can be reasonably hidden, well, you can probably get away with hiding it as long as they don't pat you down, which is unlikely to happen if as long as you're not rolling around with an assault rifle strapped to your back (see the bit about security forces).
If this had been an Old West type of city, I'd have been more flexible on the walking armory/pawnshipgunshow thing, but this is Detroit, so that means the lawful parts of the city are damned lawful. The unlawful parts of the city are damned unlawful.
For this specific situation, it's a freeform thread, so as long as you're not mass-murdering the room, I don't care.
When you go to meet the General, walking in looking like the Terminator would not be cool. Well, it would be, just not for the General.