Too many assumptions in the previous answers.
Do you live with your wife? You can't legally file as HOH.
Has your wife applied for an SSN? If so, wait to file your tax return. Do not file without your wife (unless you want to file as married filing separately, which usually has higher taxes) and do not apply for an ITIN. Get an automatic extension, and wait to file until the SSN is assigned.
If your situation is something else, please explain further.
