Should I let my cat outside with a flea allergy?

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Zora likes to go outside occasionally. She always comes back. We used to live in the country and this was okay, but now we live in the city(well not a big city, but now I live in an apartment). I am afraid to let her out. Should I? I am scared that she is getting bored in the apartment. She seems to lay around more than usual. I have been home a lot more lately. Does anyone have any advice?