Just make sure to put her in a place that doesn't get any of the exhaust fumes. It would really suck for her to get carbon monoxide poisoning because of being in the trunk with no fresh air flow.
My female Veiled was doing the same thing with one eye. So I tried warm mistings for a few days but had no success. I took her to the vet and he swabbed for infection and gave me some eye drops for her. That fixed the eye issue. :)
We get lots of Tarantulas in the Santa Clarita Valley so I see them every now and then. The last one I saw was flying around our lawn as I was mowing. She never bothered me as I never attacked her. We just went about our business. I think she was looking for water and the dog bowls are...
Tarantula hawk. I see them all the time up here in the desert hills. Used to see them in Tucson AZ even more often. Can be nasty buggers when you water the lawn but since I've cut back on that I don't see them any more.