The honey doesn't seem at all clear so I also wonder if you filtered it or how you filtered it. That definitely looks like fibers of some kind - I use a three filter bucket system that you can buy from all the bee supply places. If you filtered through cloth, those may be fibers from the cloth.
Bottling honey can be a personal thing in which you just put the honey in the bottle for yourself and the product tastes good, but the presentation isn't important.
If you are selling it or giving it away, bottling honey needs to result in a product that the consumer of your honey would want to buy. That is the reason for the strict presentation rules in honey contests - to teach you how to present honey as a selling product. In that instance, honey needs to be filtered so that it is clear and bottles need to be handled with gloves, literally, and cleaned well inside and out with no flaws in the glass.
Sounds like you like the taste just fine and are OK with it, but if that were my honey, I'd want to run it through a non-fibrous filter system.
Linda T in Atlanta