Ok This is what I know.
Some people consider Connecticut as very being expensive!
I will say otherwise. I am currently living in Connecticut and have no problems!
Moreso I am not currently a Nurse but a student and working!
Everyone's situation is different, you can get a very affordabe rent if you do your research.
I have lived in down south which many people considers to be very affordable but when I moved here few months ago I am paying almost the same rent as my rent in the south.
What I have learned is that where ever we live we can find something within our means.
Remember I moved down to CT during the so called "recession" which many people regards an odd time to relocate and I am not a Nurse. I immediately found a job as soon as I moved here.
In summary, I believe your cousin can make it if she loves to move to CTsince she already done a good job of havng a nursing degree. It is a great state that has a lot to offer!
Some people may not live affordably in the most cheapest state in the country if they cannot live within their means!
She will be fine , have her put her GPS in the car and she will get to everywhere in the state!