▲你的句子完全正确！

be ill 完全可以用于现在完成时（has been ill）与表示次数的状语连用。比如下面这句摘自《张道真英语用法》(商务印书馆国际有限公司)的493 illness – sickness – disease词条：

He has been sick several times today. 他今天有几次想吐。

▲类似例句如：

Jane's been unfaithful to Jim three times, but he still loves her in spite of everything. 简已经有3次对吉姆不忠的行为了，但尽管如此，他仍然爱她。

I don’t want to make a (big) thing of it but you have been late for work three times this week. 我并非想小题大做，但你本星期上班已迟到三次了。

He’s been wrong several times before, so I don’t put much stock in what he says anymore.  他以前错过好几次，所以我不再十分相信他说的话。