How your automated phone system greets and directs callers can make or break their customer experience. If the messages relayed by the auto-attendant are confusing, or if there’s no way they can change their mind and speak with a person, you might lose the call.
What happens here is when you apologize and sound genuine in your tone, your prospects would understand and leave their contact details for you to follow with them.

Website: https://corporatefinanceinstitute.com/resources/careers/soft-skills/professional-voicemail-greetings/#:~:text=Below are some examples of professional voicemail greetings:,I cannot take your call right now.
The above section details types of phrasing to avoid; however, it doesn’t detail what users should NOT say on their greeting. Though this is a bit loaded, as there are hundreds of combinations of things one shouldn’t say, there are some key components users should ALWAYS avoid. a. Forget About Slang: You should strive to be as professional and welcoming as possible in your greeting. While this may steer you towards using slang, in an attempt to make callers comfortable, it’ll most likely work against you. As a professional, your demeanor, tone, and speech should be clear cut and well articulated. Using slang undercuts this and works against you. b. Don’t Even Think About Profanity: This is a no-brainer. Never, under any circumstances, curse in your greeting EVER! c. Keep Your Sentences Clean, Don’t Ramble: Introduce yourself and give your caller specific direction. Avoid long diatribes detailing tangent thoughts. Keep it simple and quick. d. Always Return Your Calls: It’s important for callers to feel they are valued. Nothing dissolves this quicker than a greeting that doesn’t stress this. For example, “I’ll call you when I can,” “If I don’t return your call, please call back”—these phrases are terrible and completely destroy any good will you may have with a caller.