While it started this time, you need to be very cautious. The fuel pump may have been damaged and could fail at any moment. Here's what you should do:
* Monitor the fuel gauge carefully. Don't let it get anywhere near empty again.
* Listen for unusual noises from the fuel pump. A whining or buzzing sound could indicate damage.
* Consider having your fuel pump inspected by a mechanic. This is the most important step. A mechanic can check for damage and advise on whether replacement is necessary before you're stranded. Ignoring a potentially damaged fuel pump could lead to a complete failure, leaving you with a costly repair or needing a tow.
* Keep a fuel gauge that is more accurate. Some fuel gauges can be unreliable, and may indicate a full tank while nearing empty.
Essentially, consider yourself fortunate this time, but don't risk it happening again. Preventative maintenance is key here.