# that she could not escape notice
"that she could not prevent people from noticing her" or "that she could not keep it a secret that she was the one who had touched Jesus"
# she came trembling
"she came trembling with fear"
# fell down before him
Possible meanings are 1) "bowed down in front of Jesus" or 2) "lay down on the ground at Jesus's feet." She did not fall accidentally. This was a sign of humility and respect for Jesus.