The most common and most likely answer to this crossword clue is the 10 letter word AMBULATORY
I've seen this crossword clue in Financial Times
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The straight part
We know that "Pedestrian" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case pedestrian = ambulatory.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does AMBULATORY mean?
AMBULATORY noun- The round walkway encircling the altar in many cathedrals.
- Any part of a building intended for walking in; a corridor.
- Of, relating to, or adapted to walking
- Able to walk about and not bedridden.
- Performed on or involving an ambulatory patient or an outpatient.
- Accustomed to move from place to place; not stationary; movable.
- Not yet legally fixed or settled; alterable.