Congrats on getting your first woven wrap!

What brand and colorway did you get?
Oh, wish I had more time to respond! I absolutely love my woven wrap, though there is a larger learning curve than many other carriers. Still, it is totally worth it when you get used to it. Woven wraps are considered by many to be unsurpassed for support and longterm-wearing comfort.
It sounds to me like you are not wrapping tight enough. That's a very common thing that wrap newbies do. Don't be afraid to tighten - it's unlikely you'll be tightening too much, and by the time you're done tying off, it does loosen up. Would it possible for you to post a picture?
I would recommend practicing with a doll first, over a soft surface, then moving on to trying baby in the wrap over a soft surface, with a spot-checker and/or a mirror to check your work. If you can come to the Babywearing support group, you'll have lots of support and help to get to wrapping confidentially in no time
I've GTR now, but do let us know how you're making out with wrapping