MiroFoto the Tamron 16-300mm f/3.5-6.3 Di II VC PZD Macro is a 18X Super Zoom and being a third party optic not likely to be a highly responsive performer on your Nikon D7100... You might have been far better served with the stellar AF-P 70-300mm f/4.5-6.3 ED VR (DX) which I have and use on my D7100. This 4X zoom preforms AF wonderfully in low light and is optical rather good considering it's price point.
Here is DxOMarks review of your Tamron on a Nikon D7100...
https://www.dxomark.com/tamron-16-300mm-f-3.5-6.3-di-ii-vc-pzd-macro-review-jack-of-all-trades-part-i-nikon-mount/As you can see from the Optical Field Test the Tamron isn't a stellar optic... and no match for Nikkors in the same Super Zoom Class... You get what you pay for...
But this isn't what you want to hear and I "get that" so here is a work around...
First DO NOT use BBF (back button focus) with this challenged optic.
Instead set your focus mode to (S) Single Point and make certain your have Focus Auto Assist enabled...
This can (and likely will) empower your Third Party glass...
btw, You can find this function under the CUSTOM SETTING MENU (a7) Built-in AF-assist illuminator.
You will hear your D7100 Beep (if you haven't turned off Beep) when you half press the Shutter Release when it finds & Locks focus... Once again DO NOT use BBF with (C) continous AF... this disables the Built-in AF-assist illuminator... and it's reassuring "Beep"
Also be absolutely certain you use only the SINGLE Center focus point on your D7100 since this is by far and away the most sensitive "Cross Type" sensor... the outer focus points are likely not up to the task of struggling with the f/6.3 aperture.
Best Advice? Sell the Tamron and invest in a Nikkor... Want a Zoom Optic, then go for 3X or less... I assist many commercial shooters in my market and not only do they typically use only primes they stay with their camera vendor's glass... the story is the same for those shooting Canon, Sony etc.
Yes I use a couple of Sigma optics (DX) since Nikon doesn't make pro-quality DX lenses...
the 17-50mm f/2.8 and the 50-150mm f/2.8 both are 3X Zooms
However the 35mm f/1.8 DX Nikkor is outstanding! and that optic should be in every DX user's kit!
Hope this helps MiroFoto...
Experience is a brutal teacher as well I've discovered...
And the compelling reason I'm using primes whenever practical...
All the best on your journey