What does the Verb きれる mean here?


I’m reading a manga and I’m a little confused to the meaning of きれる in this
context.

> “甘さを自覚した三浦くんは  
>  私に受け止めきれるかな”

When I asked one of my friends she told me it’s along the lines “I’ve realized
the sweet side Miura-kun has towards me and I wonder how I can get completely
used to it.”  
I understand that きれる can also mean completely so, is that correct? Or is it
more along the lines “I wonder If i will be able to handle Miura-kun, who has
noticed how sweet he is himself?” Thank you very much.![enter image
description here](https://i.stack.imgur.com/JOfw8.jpg)




Yes this 切れる is the potential form of 切る, which means "completely". See also:
[Is there any difference in meaning between 「抜け切る」 and
「抜ける」?](https://japanese.stackexchange.com/q/33789/5010)

甘さを自覚した三浦くん means "Miura-kun who is aware of his (own) sweetness". ~~This 甘さ
is[考えの甘さ](http://pinasan.com/english/today_study/16251)~~. The sentence is not
saying "sweet side of Miura-kun" (三浦くんの甘さ). If you are still not good at
relative clauses, please review its grammar now. 三浦くん is the subject of 自覚する.

I don't know how to translate 受け止める since there is not enough context. If this
is a battle manga, this 受け止める should mean "to stop/endure his blow/attack". If
this is a love story, it should mean something like "to accept him".

> 甘さを自覚した三浦くんは私に受け止めきれるかな。  
>  I wonder if I can fully accept/stop Miura-kun, who is now aware of his
> (own) sweetness...

