"I will be audited as he is claiming her."
Yes, you will be and so will he. You will both be asked to prove that you had the child 183 nights.
If neither of you can prove it, the iRS will most likely award the dependent to the child with the highest income.
References:
https://www.thebalance.com/claiming-same-dependent-audit-risk-3193030
http://taxes.about.com/od/dependents/qt/Dependents-Audits.htm
www.eitc.irs.gov/EITCCentral/f886-h-dep.pdf
