THe thing is, in examining this it shows how much you are trying to analyze and control this sitaution. This is normal, but its also not very constructive.
Yes, her wearing the ring may ahve been your cologne but I will tell you a secret :
Not everything your wife does is because or about you
Sometimes she may just wear the ring beucase she can't find anything else that matches her outfit.. or she's in a hurry and forgot it today.. who knows.
It's unhealthy for you and your marriage for you to fixate too much on her behaviour. Take a quick temp each day, but you may need to let it go just a bit...
The analysis we can get here is very limited.
Just keep teh blinders on and keep a goin.
If you don' think the uniform helps then ya we may have to come up with something else creative.
Keep trying to come up with some creative ways to reassure her without pursuing her directly... there are some otu there, we just need to find them.