I told the clerk at MacDonald’s to make my hamburger without pickles,but the clerk forgot to take off it,and
then i took off it myself,but my hamburger was stinking because of pickles smell.
I almost puked.
私マクドナルドの店員にピクルスを抜いてって頼んだのに、取るの忘れたらしくって、自分で抜いたんだけど、私のハンバーガーピクルスの匂いですごく臭かった。もう少しで吐きそうになっちゃた。

他にＧｏｏｄな言い方あったら教えて下さい、私の文って微妙に変ですよね。まだ勉強中なのでいろいろ教えて下さい

I hate pickles, so when I went to MacDonald’s last time,I ordered a hambuegar without pickles,but in fact,I got it with picles!!
It made me sick badly because the smell was too strong,and I was almost going to vomit. 　

When I went to MacDonald, I ordered a hanmerger without any pickles. However, I got one with pickles actually. I took them all off from my hambaurger, but it still smelled pickles and I didn’t like even the smell. The smell made me sick. (or I was almost going to throw up.)

こんなのはどうでしょうか？ 　

Although I ordered hamburger with no pickle at McDonald restaurant, I found the pickle in it.
Very strong smell (stinky smell) still there on my burger that made me sick to the stomach even after I removed it.

Pls. check spells and grammar
　

やっぱりいろいろ表現の仕方があるんですよね。みなさんの表現をいろいろ参考にし使わせて頂きます。本当にありがとうございました〜！ 　

hold on picklesでもいけます。 　

onはいるの？
holdだけで良いと思ってた。 　

Puke はゲロってお下品な響きなので、他の方が仰るようにThrow Up の方が宜しいかと・・・
I nearly threw up　なんていかが？