Even though the note is worn, it is a keeper for sure. A note from the 1969A series is already hard enough to find but to find a star is even more rare.
I would keep it if it was from a short print run. I can't exactly recall how many of these were printed.
Print run on that star is 3,680,000. If it were mine and i wanted an example of that star note from that series in that denomination i'd put that note towards an uncirculated one. Which am guessing could be picked up for about $50-$70 considering a 1969 $10 Chicago star note in ChCu sells for $50 that has a print run of 6,240,000. That note in the condition you have may retail around $15-$20 is my guess on a good day...and that might be a bit generous.
I'd save it and/or try to sell it. Even if you could only get $12-15 for it, that's still more than $10. I sold a lot of these older, circulated, not-so-rare notes for about 50% over face not long ago.
1969A notes do carry about 10% premium Stars a bit More but Grade is what can Make them a semi modern rare $ wise. BEP was not making sets J.Q.Public 1969 + note collecting was like stamp not to many hiding things for today.but a few did