For the first 2000 affection, she has severely reduced increases. After that 2000 she becomes somewhat normal and will accept republic memorabilia at high gain as well as courtship if you are flirting with her.
Edit: If you can stomach going lightside for awhile, getting that first 2k via quest gains is far less frustrating than gifting on cooldown for 40 minutes (stupid pointless timesinks).
No need to go lightside. Just base your conversations around her likes, and dismiss her when a darkside decision needs to be made.