a·pol·o·gy [uh-pol-uh-jee] noun, plural a·pol·o·gies.
1. a written or spoken expression of one’s regret, remorse, or sorrow for having insulted, failed, injured, or wronged another: He demanded an apology from me for calling him a crook.
2. a defense, excuse, or justification in speech or writing, as for a cause or doctrine.
3. ( initial capital letter, italics ) a dialogue by Plato, centering on Socrates’ defense before the tribunal that condemned him to death.
4. an inferior specimen or substitute; makeshift: The tramp wore a sad apology for a hat.
dictionary.com

a·pol·o·gize [uh-pol-uh-jahyz] verb (used without object), a·pol·o·gized, a·pol·o·giz·ing.
1. to offer an apology or excuse for some fault, insult, failure, or injury: He apologized for accusing her falsely.
2. to make a formal defense in speech or writing.
dictionary.com

sor·ry [sor-ee, sawr-ee] adjective, sor·ri·er, sor·ri·est.
1. feeling regret, compunction, sympathy, pity, etc.: to be sorry to leave one’s friends; to be sorry for a remark; to be sorry for someone in trouble.
2. regrettable or deplorable; unfortunate; tragic: a sorry situation; to come to a sorry end.
3. sorrowful, grieved, or sad: Was she sorry when her brother died?
4. associated with sorrow; suggestive of grief or suffering; melancholy; dismal.
5. wretched, poor, useless, or pitiful: a sorry horse.
dictionary.com