"The moon is a dirty place...The dust coated spacesuits, instruments, visors and skin...The dust is so frustrating, in part, because its so small. Lunar dust measures in at just 70 micrometers, or 0.07 millimeters, in diameter on average. That's around the size of the very finest grains of sand, or silt. To add to the annoyance, lunar dust carries a slight electric charge, a result of solar radiation stripping electrons away, and that property serves to make the dust even stickier..."
www.discovermagazine.com:443/the-sciences/we-still-dont-know-how-to-deal-with-moon-dust(spoiler, the descent engine did blow the dust around)
"Now, the dust would be blown away as mentioned in my last point in the direction the astronaut on the photograph is shown (more or less in the direction towards the hatch where the navigation controls and windows were also installed), but if you look a bit more closer and on a photograph of higher resolution (included below), you'll actually notice the dust trail:
Buzz standing just beyond the north strut of the Lunar Module (20 July 1969)
Buzz is standing just beyond the north strut. Note the distinctive dust smudges on Buzz's legs. The photo also shows the furrows in the bulk sample area and the area to the left of the footpad that shows unmistakable signs of sweeping by the descent engine exhaust. In a detail Ulli Lotzmann notes a reflected image of the rendezvous radar.
Photograph and quote source: Wikimedia Commons, Credit: NASA History Office"
space.stackexchange.com/questions/1691/why-didnt-the-apollo-11-lander-blow-the-dust-away-or-why-does-it-look-like-itAnd here is the answer to all this:"Putting the Pieces Together to Debunk the Claim
At this point, we have two
facts.
First, lunar dust will drop straight down if it is released - be it from an astronaut that picks it up or from the force of a rocket engine's exhaust (which, while not strong enough to create a crater was strong enough to suspend lunar dust).
Second, the Apollo engines were shut off before the craft landed.Consequently, as soon as the engines shut off, the source of a temporary atmosphere that surrounded the craft was terminated, and the dust that was suspended in it immediately dropped towards the lunar surface. The craft still had both a horizontal component to its trajectory, and the legs were above the majority of any of the temporary atmosphere that suspended the dust.
Hence, when the craft landed, it landed both to the side of the settled dust, and the dust would have already settled before the craft touched down, preventing any from being deposited on the LM's footpads."
pseudoastro.wordpress.com/2009/07/15/the-apollo-moon-hoax-why-is-there-no-lunar-dust-on-the-landers-footpads/I'm satisfied with this answer.