I've been called out as an hater for even suggesting this as I favor Carrot as a new new nakama and let's just say I'm not the biggest Yamato fan lol but hear me out a bit ^^
We know little to nothing about Yamato's fruit but we did find out this chapter that it is pretty valuable, one that even Kaido who wants to conquer the world and put Yamato at the head of the base for his invasion thought was too valuable to give Yamato.
This was TCB's translation of it:
But the literal translation is:
Kaido: It took me great pains to get my hands on that "Devil Fruit". I didn't intend on letting you have it.
Something else I find interesting about this little bit of dialogue is the similarities between the way Yamato ate the fruit and the way Luffy did particularly since such a big deal was made out the Gomu Gomu Fruit in recent chapters
So in this arc we have two DF's that are incredibly "valuable" and were also consumed in a similar fashion. I don't think this parallel is a mere coincidence.
Now onto the crux of this speculation, we know that the Blackbeard Pirates have been on a hunt for Devil Fruits and here in this arc, we have two devil fruits that are apparently incredibly rare and valuable so I don't think it'd be far-fetched for the Blackbeard Pirates to gun for either of them.
Typically I don't think it'd be worth the risk for the Blackbeard crew to attack the beast pirates coz one or two valuable DFs are there but keep in mind that right now, the Beast Pirates are under attack from the SH alliance, so even if Blackbeard doesn't necessarily expect the alliance to come out on top, it is very likely that both sides will be completely exhausted and on their last legs towards the end of the arc which would give Blackbeard the perfect opportunity to gun for the DFs.
What's even more interesting about this is that there is a very popular theory that Blackbeard will have 3 DFs by the end of the series, currently Blackbeard has the strongest Paramecia and the strongest Logia so it falls to reason that if he indeed gets his hands on a Zoan fruit it'd have to be the best there is.
Initially I thought Blackbeard might go after Luffy's fruit and might have been waiting for him to awaken it till now but! Yamato being a zoan which is the only category Blackbeard doesn't possess yet and also so valuable, I think is the more viable option now.
Another ting is that in the latest one piece game, which features the Wano Arc, Blackbeard made an appearance at the end of the arc and it also important to note that Oda said something very surprising is going to happen at the end of the Wano arc.
Lastly I think Blackbeard killing Yamato could be a very interesting development not just coz of the above speculation but also coz of how it'd impact Kaido's plans and I feel we could potentially see a soft side of Kaido with regards to Yamato if this happens as I get the inkling that he really does care about her even if he has a twisted way of doing things.
What do y'all think ^^
Know I'm gonna get quite a bit of heat for this

but has to be said
Even if I'm not a Yamato fan, I'm not necessarily wishing death on her as I'm sure a lot of folks will assume

, I just think this could be an interesting an honestly feasible development given how important the DF apparently is.
Btw, I put the image on private so, I won't spoil imgur users that haven't read the chapter yet you might have to click it to see it