4 yr old girl and the spider fear

Tappy, my 4 year old daughter, screamed from the toilet, "Daddy!!!" I asked her what was wrong and she pointed to a spider. It was tiny. So, I grabbed the bug and let it dangle down to my nose. I let it crawl over my face then grabbed it again as it keeps stringing down my hand. "This is my favorite bug", I told her. "Why?" she asked with her big round eyes looking in wonder. "Well, they eat flies, mosquitos and roaches - all the dirty bugs that make us sick." Then, I pretended to gobble down the critter as she giggled, "Daddy." She's not afraid of the small spiders anymore. I haven't seen any big ones so I don't know how she'll deal with them.