A priest probably won’t ask for a name, lest it was himself!  In which case, if instructed to apologize to the priest, you’d have to apologize, but outside the confessional.  Remember, the priest when hearing confessions, is no more Fr. Soandso, but Jesus Christ.  

BTW, why would one have to name a well known priest such as Fr. Ripperger?  Unless you are in his social or professional circle and your bad talk resulted in harm to him or his colleagues, parishioners, family members, naming him is unnecessary.  Any priest or person with a public following is going to have those who speak ill of him.  Most of the critics are those who disagree with what the priest says or does, not against him, personally.  Most people do not know personally know Fr. Ripperger.  There are probably more demons than people who’ve met him in person!  What about speaking badly of Fr. James Martin?  Is that a sin?  If not, why not?  Both men are priests to whom respect is owed by virtue of their priesthood.  
Just be aware that speaking badly of a priest’s teachings or opinions is not the same as speaking badly of his priesthood or of him as a person.  Speaking against opinions or teachings, if it’s a matter of defending Church dogma and morals IS allowed. It’s no sin at all. On the other hand, condemning them to Hell, wishing them to be harmed, or lying about them, these ARE sins. It may only be necessary to say that the priest is well-known, or has an online following.  The name still isn’t necessary.  In fact, it may be better to NOT name them lest the priest who hears the confession unintentionally gives a biased penance.