Cow implies bringing out an abject state of timorousness and often demoralization: a dog that was cowed by abuse.
To bully is to intimidate through blustering, domineering, or threatening behavior: workers who were bullied into accepting a poor contract.
You can stand up for what you believe in, advocate for yourself and for others, and be sure that credit is given where it’s due.
But when does assertiveness cross over into the territory of being intimidating?
The synonyms have been arranged depending on the number of charachters so that they're easy to find.