Answer: Tiger lilies (Lilium) need that main stem and foliage to continue growing and refuel the bulb for next year. Snip off the faded blooms to stop the plant from trying to set seed, and leave the plant to grow until frost kills it back. After frost, trim off the stem at ground level.
Some people call the orange daylilies (Hemerocallis) by the name tiger lilies. This plant has grassy-looking foliage and blooms on tall wiry stems. These can also be deadheaded and then the wiry stem (scape) can be cut off short once all the buds on that stem have bloomed and faded. Again, leave the foliage intact until after frost this fall.
Enjoy your lilies!
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