Will filling out form 8332 to release the claim to child tax credit affect me since I filed as head of household already?

I filed my taxes as head of household and marked my child as my dependent, but did not receive a tax credit because I made too much. My ex-wife has asked that I sign a 8332 form to release the claim to the child tax credit so she can take advantage of the credit since she made less. Since I've already received my refund, will this affect me at all if I fill out this form, for example take away my HoH status?