Dfyjkt

I have this sentence where I used the word infringement, and I think I'm exaggerating things a bit by choosing it. Moreover, I want it to mean: not saying anything bad in any way about someone, not speaking of them badly.

The sentence:

How do I explain my stance without infringement his family and without
putting myself in an awkward position in front of him?

So, is there a suitable word to put it instead of infringement?

Also, about the word stance, does it mean position? And, does it fit in that sentence?

Because your question asks for a term that means the opposite of "infringing" or "disparaging", the word I would recommend is "tact."

tact

a keen sense of what to do or say in order to maintain good relations with others or avoid offense

The peace talks required great tact on the part of both leaders.

The word "tact" is often used in the form of an adjective ("tactful") or an adverb ("tactfully"). One might also say that something must be said "with tact." The sentence you provided could then become:

How do I explain my stance with tact, so that I do not offend his family or put myself in an awkward position with him?

It should be infringing and it’s not clear to me what it could mean in this example. Your usage of stance seems correct here.

You could consider disparaging:

disparage

transitive verb

If you disparage someone or something, you speak about them in a way which shows that you do not have a good opinion of them.

[formal]
...Larkin's tendency to disparage literature.

(Collins Dictionary)

If the context is that you're trying not to say something bad about the family, you could possibly use casting apsersions?

cast aspersions

to say harsh critical things about someone or someone's character
[formal]
...He tried to discuss his political opponents respectfully, without casting aspersions.

(Merriam-Webster Dictionary)

So in your case, that would be

How do I explain my stance without casting aspersions on his family and without putting myself in an awkward position in front of him?

In my opinion, you can both use stance and position.

Instead of infringement (which should be without infringing in your sentence, by the way) I'd use offending.

How do I explain my stance without offending his family and without putting myself in an awkward position in front of him?

_{(Native German Speaker)}

It's not entirely clear what you mean by bad—it can be taken in many different ways. It could be an insult, a criticism, a social faux pas, and so on.

But I can think of a general word to use that would cover almost all meanings of bad:

How do I explain my stance without upsetting his family and without putting myself in an awkward position in front of him?

You can be upset in any number of ways—from mild displeasure or annoyance all the way to insult and anger.

As for stance, I would say that it means viewpoint or belief here. (It could be equated with one sense of position, but that word has other senses that don't make it quite as relevant.)

Stance is perfectly understandable in this sentence.

You may be thinking of impugning, it has an archaic meaning "to assault with words".