She's quite the zone breaker, and her paralyzer is quite good at setting up some brick walls. Her frame data is practically perfect and combining that with her long legs (her hitboxes are mostly located at the jetboots) she can also use that to set up good brick walls. Brick walling is not her specialty however, she just isn't terrible at it.
How I usually play her with success is by utilizing the above mentioned tools in the Neutral phase until I see an opening, then I either go for a dash grab or dash attack to send the opponent in the air. While the opponent is in the air you can combo the crap out of them if you read airdodges and jumps correctly. You can also true combo down throws into aerials (which aerials depends on the DI). Her Nair is great for shield pressure if you space it correctly <3. Her Zair is just incredible for spacing when mastered. If the opponent is pressuring your sheild while being close you can Utilt them as a punish since it comes out faster than her shield grab.
(And if you're really feeling it, you can boost kick(UP-B) outta shield and catch them for a kill, but if you're unsure it can be very risky)
You should watch pro Zamus players and take a look at their zoning for reference. Good Luck! :D