Answer:  Connecticut
January’s puzzle is about the careful following of directions.  The steps are:

1. Write down the name of this month: JANUARY
2. Add Rush’s three letter airport code after the first vowel: JAYYZNUARY
3. Change the first letter into an H: HAYYZNUARY
4. Switch the R and the N: HAYYZRUANY
5. Add an L after the only two-letter State abbreviation (NY): HAYYZRUANYL
6. Change atomic number 40 to atomic number 26 (Zr to Fe): HAYYFEUANYL
7. Change the A’s to D’s: HDYYFEUDNYL
8. Switch the second consonant with the U: HUYYFEDDNYL
9. Add an O before any doubled pairs: HUOYYFEODDNYL
10. Reverse the 2nd through 9th letters: HDOEFYYOUDNYL
11. Change You to Me: HDOEFYMEDNYL
12. Change the Doe to a Stag: HSTAGFYMEDNYL
13. Move the 7th letter to the front: YHSTAGFMEDNYL
14. Make an O of the G: YHSTAOFMEDNYL
15. Reverse the 6th through 9th letters: YHSTAEMFODNYL
16. Add to the front the four-letter institute that looks for life on other worlds (SETI): SETIYHSTAEMFODNYL
17. Add a B after the 2nd vowel: SETIBYHSTAEMFODNYL
18. Reverse all letters: LYNDOFMEATSHYBITES
19. Change the Black-capped Chickadee’s State to the Blue Hen’s (ME to DE): LYNDOFDEATSHYBITES
20. Eliminate all E’s: LYNDOFDATSHYBITS
21. Reverse the 7th through 10th letters: LYNDOFSTADHYBITS
22. Add an E after the first T from the left: LYNDOFSTEADHYBITS
23. Change the Y’s into A’s: LANDOFSTEADHABITS
24. Add a Y after the second D from the left: LANDOFSTEADYHABITS

The sequence of letters revealed following step 24 is Land of Steady Habits.  This is the nickname given to the industrious American State of Connecticut.