Is the area around Discovery Green safe after dark?

I've searched and read a few posts about the safety of walking around downtown Houston, so forgive me for posting another. As someone who is completely unfamiliar with the area it's not super clear if the comments I've read apply to my situation.

I'll be in Houston for work and my activities will mostly be located within about a 1 mile radius of the Discovery Green park area.

From what I've read, there's not much to worry about during the day. However, there will be some events that I'll be walking 15-20 minutes after dark, but likely no later than 10pm (weeknights).

I'm a woman and trying to understand how much I need to worry about taking an Uber or making sure I have a "buddy" for these instances. I live in a city and normally carry pepper spray, but won't be able to bring it on my trip since I'll be flying with only a carry-on.

I appreciate your insight!