Sorry to learn of the stroke biting your wife.
I had aphasia and struggled to talk at first. I also struggled to process others speaking to me.
Speech was just a noise and my brain had to sort out the noise in to words. Then it had to sort the words into order and work out what they meant. I then needed to work out my reply and sort the words again. Then convince my mouth to speak those words. By this time most people have said something extra/different and only the medical staff seemed to grasp that they had to be precise in what they asked and then wait for my reply.
Now the good news. After three months I was speaking and hearing to a mderate level. After six months i could hear and speak quite well.
I needed rest and time. Stroke recovery is slow. Very slow. But it does happen.
I find it totally unhelpfull to be told the name I am seeking begins with X. If I knew the word I wouldnt need to be told how it starts.
I was 68 at that time. So age related issues were just starting to be a possibility. After perhaps a year, I could tell which absent info was just me being old and which was stroke. If it is old then hovering and maybe even being told X would get the answer, I eventually recall whatever I was failing with. However if it is stroke then the info will not recall no matter how hard I try. Its absent and thats that.
Part of my brain is dead, so certain functions and memories will not return. During the first two years , some recovery is possible in respect of brain area that is damaged as opposed to dead. In addition the brain will learn ways of working around the dead bits. Neuro plasticity in medic speak. Recovery will go on as long as is needed. I am 4 years + and recovery is still happening.
I have lost all memories for the months prior to stroke. I have diaries so reading them can replace a lot of the missing memories.
It is early days for your wife. Rest, peacefulness, no stress are essentials for a good recovery.
The stroke association do excellent leaflets explaing aphasia, emotionality, loss of temper etc. And they will mention depression. A stroke often brings waves of depression for several weeks. Do try to allow your wife to push the depression away (smiling is an amazing weapon).
She appears to be recovering very well indeed, but please accept it is still a massive journey of recovery for her. And please not she will never return to her previous self. She will however recover to a new person.
Smile (wife not you!)
Lots of us are here for you both