1. It is not a Tiger Lily. It is an Oriental.
2. Lilies are not indoor plants. They must be planted outdoors.
3. They might never bloom for you again. Lilies need cold period every winter to bloom. People have problems to get them blooming even in zone 8. Sorry, this plant is not appropriate for you climate zone.

You could simulate winter for them by waiting for the flowering to end and the foilage to die back and then dig the bulb out of the pot (I have planted lilies in my garden in their pots when I wanted to make sure the new bulbs they produced were easy to find.
Take the resulting bulbs and put them in peat moss and a baggie and freeze them for a month or more, then bring them out and let them first thaw in soil with minimal sun and generally increase the sun and temp. If you have central air, you could bring the bulb inside after it blooms and put it in the coldest room of the house while it dies back.
Lots of work but it could be done. Depends on how much you want to do this. Up north here, we have to dig our dahlias, cannas, glads if we want them to survive and find a place to keep them over the winter. I have had minimal success with this.
Good luck.
diene
By the way, I believe your lily is a stargazer.