What do I do with this stray kitten that wants to come in my house?

About a week ago this stray kitten was mowing outside my house. I gave her food but now she won't leave. She's constantly meowing all day and night. I stopped giving her food for 4 days but she wouldn't go. I'm thinking of taking her to a shelter but I feel bad if they euthanize her.. Are there better options? I can't take her in because I have two cats already and they both hissed at her.