Some clarification on Taylor's power:
Taylor does not get new shards every time she gets a power. She only has and only will have one shard: Queen Administrator. All the powers she gets are completely shardless. They're more of the effect of a power, than powers themselves. For instance, if Lung's power was taken away after he just got done burning down a building, that doesn't mean that the fire consuming the building would disappear. If for some reason QA is taken away or Taylor comes in contact with a power surpressing Trump, it will not affect the powers she has gained.
It will, however, affect their Manton Limits.
The Manton Limits are there to keep the host safe. Whenever Taylor gains a power from a fictional work, QA makes sure to apply Manton Limits to any power she gets so that way she won't accidentally kill herself. If Taylor does come in contact with a power surpressing Trump, then the Trump would suppress the Manton Limits themselves instead of the powers Taylor gains.
Which would be really bad, depending on what power Taylor has at the time.