Reddit mentions of Ringside Mexican Style Boxing Hand Wraps (Pair), Black

I vote for the boxing wraps...cuz they're cool.

Welcome to muay thai! I'm 26, female, 5'4", and have been training for approx. 3 years. I'm not an expert by any means but I've seen some things and met some great fighters! This is an amazing sport and it will teach you so much about yourself and what you can handle, both physically and mentally. So happy to see more women embracing it ! Just wanted to send a quick applause to you!

Regarding glove size, I'd advise you talk to your gym about the size they want their fighters to train with. Are you hitting heavy bags? Thai pads? Each other? A combination of all the above?
16 oz. is pretty commonly mandatory and I've found many gyms prefer this in the event you spar a lot since it involves the most amount of padding. I train with 14oz. My 2 girlfriends (both the same size and height as me) train with 12oz. We primarily do dutch style kickboxing, hit thai pads, and spar. If your gym is fine with any weight, then it's your preference as to how much bulk you feel you need. Don't worry, your hands will be pretty protected anywhere from 16-10oz. Slimmer weights then that and now you're getting into professional fight training level.

As far as glove brand...many muay thai people love Fairtex and Twins, which I'm sure you've seen. You can't go wrong with that brand - they're very solid options for you especially as a beginner. I happen to think their price point is pretty good as well! I have Raja (linked above), which I like, but I have really small hands and sometimes I feel that they float a little too much in my gloves. I would buy Raja again but I'd figure out some way to try them on first. Both of my friends have Superare (linked above) and they love their gloves. They are snug on your hands (again, we're all small like you), really well made, and a good price point. If I needed new gloves I'd absolutely consider these.

Venum is a nice brand - I have Venum shinguards - but I'm not sure how their gloves are. From my perspective Venum is definitely flashy and pushing their advertising, and maybe more focused on promoting their overall MMA gear versus boxing/muay thai. I've met people with Venum gloves and they seem happy enough with them. They also don't go out of their way to sing their praises. I'm not sure what brand of glove your gym is promoting. They could be a great option for you since they shouldn't want to promote poor gear to their fighters - is there a reason why you don't like them?

I find that I cannot train without hand wraps, so I'd advise that you get several wraps. They're not expensive. Ringside 180" wraps are my tried and true, and I've used several brands. There are many different ways to wrap your hands - my advice is to find a tutorial on youtube that focuses more on padding your knuckles than your wrists. You might find that with all the training your knuckles aren't used to that level of impact. It's normal, your hands won't break....sometimes adding a little extra gauze can help with the impact.

Drink water, listen to your instructor, and go kick some ass! Hopefully this helps you out. Happy to answer any other questions if they come up!