It’s a bit hard to see, but looks like you didn’t connected GND probe of LA to MicroSD’s ground.
6KS/s is tooo slow for this bus, try 50MS/s or even higher.
Don’t forget to set the correct logic threshold levels (try something around 1V).
Set trigger type to "rising or falling edge", try selecting different channels as trigger (some test pads can be static, they will give no trigger).
I strongly recommend you attaching all these things to some kind of board with 2.54mm pin headers for LA probes. Entire process is not fast, you’ll need to reconnect the cardreader many times (thus moving the wires with a risk of disconnection), it’s easy to get lost which channel was connected to which pin etc. Spending some time on a good fixture will save both time and nerves later.