Naturalisation of recently naturalised partner

My situation

1. Worked on Tier 2 visa for 5 years
2. Got ILR
3. Getting citizenship after 6 years of living in UK in total.

My wife has lived in UK for 5 years and got ILR now. She does not need to wait for 1 more year to get citizenship since I got one already, right?

https://www.gov.uk/apply-citizenship-in ... -to-remain

If you have attended your ceremony and are now british then yes she can apply immediately provided she meets all the requirements.