1. With a sense of urgency, because it is very important.
  2. Importantly. Often used with more in this sense.
    Why would you do that on a date, and why, more pressingly, would you do that at the beginning of a date?
  3. With enthusiasm. With friendly encouragement.

The above text is a snippet from Wiktionary: pressingly
and as such is available under the Creative Commons Attribution/Share-Alike License.

Need help with a clue?
Try your search in the crossword dictionary!