I brought my first cat home this way, 45 minutes in the C150. The cat was not happy about it, but seemed to have no lasting concerns.
I also delivered a kitten to my middle daughter in university, 2 hours in the 182. The kitten seemed to enjoy the flight. Sadly, it did not enjoy Ottawa.
Make sure you have the cat restrained in cage or by leash, as appropriate. Good idea in the plane, vital outside at the airport!
