Step 1: Recall the conditions.
- Barely was the first word to be entered.
- Sheela was neither the first nor the last to solve.
- Silence was not the third word, and it had to be an across clue.
- Elsie’s word was longer than Bineet’s.
Step 2: Check Sheela’s placement.
Sheela cannot be 1st or 5th. From the sequence of insertion (Barely → Silence → Rosebud → Burden → Baadshah), Sheela’s possible positions are 2nd, 3rd, or 4th.
Step 3: Match Sheela with words.
- If Sheela had Rosebud (3rd), then Silence would not be accounted for correctly.
- If Sheela had Burden (4th), this would make her too late in sequence relative to condition (Sheela not last but also not placed in middle in this structure).
- The only consistent word Sheela can have is Silence (2nd position).
Step 4: Confirm with other constraints.
- Bineet’s word must be Barely (shorter than Elsie’s).
- Elsie’s word must be Baadshah (longer than Bineet’s).
- That leaves Silence for Sheela, Rosebud for Titli, and Burden for Easwar.
- All constraints are satisfied.
\[
\boxed{\text{Sheela’s word = Silence}}
\]