Owls symbolize wisdom in general but also a glimpse into the darker aspects of your own personality. I don't know you at all kelann so I am just speaking generally now, and I am an amateur - but here goes.
This dream could mean that you're under some stress and sometimes feel tormented by aggression directed at the child for being a hindrance in some ways (what baby parent doesn't feel that way.) On a conscious level you know it isn't baby's fault, and you do love that baby with all aspects and levels of your personality, consciously as well as subconsciously. But there is that hint of frustration - and it scares you. It may not necessarily be that you're afraid of smacking the baby or anything like that, it may be more subtle: You may - at times - fear you won't be capable of all the love it takes to bring a child up well, or that you'll not be able to protect the child - from whatever.
The owl has insight into all of these mixed emotions and he is you telling you: Oh yes you will, and you are. You are capable of all that love and your child will grow up well, you will be able to protect her, you will be able to make the decisions you need to make in order to protect her.
The clock stopping while you were having the dream is extremely powerful. Time stood still while the owl spoke to you. You must have been in contact with very deep stratas of your mind while having this dream, which makes the message all the more profound. This was the owls way of making sure you'll never forget the dream - you met the owl in a place beyond time and his words will stay with you beyond time.
If my interpretation doesn't speak to you, keep on talking with the owl himself. This is a good dream and you should strive to stay in touch with it. It's a truly good thing to ask other people what a dream means, but you and you alone know which interpretations to keep close to your heart and which to disregard.