Have a look at their CEOs salary and then what food they feed the dogs in their care. Tells you all you need to know about how much their genuinely care for the dogs. And it's not just Dogs Trust. It's many big rescue centres that have 'branches' (independent ones that 'foster' dogs out to people are much better IME) treat the animals awfully. Cheapest food they can find. Rubbish toys. No exercise etc.
Someone will come along and rave about 'adopt don't shop' but having adopted a dog once (I will not name the charity - but it operates UK wide and has several 'branches') and the charity was downright disingenuous about the dogs characteristics...I would never adopt again. And I'm not the only one - a woman adopted an XL bully (with a known history of aggression) from the RSPA about a year ago now. The advert said it was child and pet friendly. No history of aggression. She died. It was all over the news at the time.
If you want to adopt - try breed specific (Spaniel Aid, SWGC etc) as they tend to actually care for the dogs rather than profiteering which is what the big charities do. Don't use a national centre with branches.
And FFS don't use one that picks the breed for you. Chances are you'll end up with something that no one in their right mind would pick (which is why they have done it - to rehome 'problem dogs' that would otherwise be ignored).