Rather than sticking to the 6 months 'rule', stick to when your child is ready. Your child is ready when she can sit up straight, grabs for the food herself and holds it herself while eating it. No holding it for her, pushing it in her mouth or anything like that. Some babies are ready for it at just gone 4 months, others won't be ready at 6 months.
The choking risk is an obvious worry, but it honestly isn't that bad. You need to remember there is a big difference between choking and gagging. Gagging is completely normal, and does not cause your child any damage or distress. The basic rule is to keep an eye on your child, and if your child makes a noise while 'choking'. then it's classed gagging and try not to interfere. Choking is silent and will need help. Gagging is caused by the food hitting the roof of the mouth or back of the throat, and the sound (while it can sound terrifying) is just baby's way of learning how to get food to let go and go the correct way.
There's actually a fair bit of debate that says traditional weaning has a higher choking risk than baby led weaning, as the parent is the one feeding the baby rather than the baby listening and learning to it's own queues on how to eat. On top of that mushed food doesn't trigger the same tongue movements, so once a baby does go onto solids it will often choke / gag more as it's not used to having to chew / suck and thinks food can just be swallowed.
When starting BLW, perhaps try with foods that are easier for your baby to hold and chew on first. Cut up peppers and cucumber sticks are good as they're easy to cut in such a way they're easy for your baby to hold, they're quite firm textures too which makes it easier for your baby to gum on them and not bite of massive chunks from the word go. Tomatoes, bread & banana are very popular too as they're more likely to teach your child how to mush up food in their mouth using their gums and tongue.
Introduce a spoon quite early on too, just give them a bowl of yogurt / rice pudding and a spoon and watch the mess unfold. Don't be tempted to hold the spoon for them or feed them, though perhaps hold the bowl down to stop it hitting the floor
Most importantly, try to be relaxed about it and have fun watching your child learn.